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Finding the Fourth Proportional to 585,700.86, 808,271.91 and 317,428.86

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Solution

The fourth proportional to 585,700.86, 808,271.91 and 317,428.86 is: 438,054.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,700.86 : 808,271.91 = 317,428.86 : x
  2. Step 2: Convert to fraction form
    585,700.86/808,271.91 = 317,428.86/x
  3. Step 3: Cross multiply
    585,700.86x = 808,271.91 × 317,428.86
  4. Step 4: Simplify right side
    585,700.86x = 256,568,830,961.32
  5. Step 5: Solve for x
    x = 256,568,830,961.32/585,700.86
  6. Step 6: Final answer
    x = 438,054.39

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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.