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Finding the Fourth Proportional to 591,389.86, 816,117.51 and 319,457.67

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Solution

The fourth proportional to 591,389.86, 816,117.51 and 319,457.67 is: 440,851.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,389.86 : 816,117.51 = 319,457.67 : x
  2. Step 2: Convert to fraction form
    591,389.86/816,117.51 = 319,457.67/x
  3. Step 3: Cross multiply
    591,389.86x = 816,117.51 × 319,457.67
  4. Step 4: Simplify right side
    591,389.86x = 260,714,998,190.80
  5. Step 5: Solve for x
    x = 260,714,998,190.80/591,389.86
  6. Step 6: Final answer
    x = 440,851.32

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.