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Finding the Fourth Proportional to 508,164.42, 701,256.38 and 314,520.74

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Solution

The fourth proportional to 508,164.42, 701,256.38 and 314,520.74 is: 434,032.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,164.42 : 701,256.38 = 314,520.74 : x
  2. Step 2: Convert to fraction form
    508,164.42/701,256.38 = 314,520.74/x
  3. Step 3: Cross multiply
    508,164.42x = 701,256.38 × 314,520.74
  4. Step 4: Simplify right side
    508,164.42x = 220,559,675,567.32
  5. Step 5: Solve for x
    x = 220,559,675,567.32/508,164.42
  6. Step 6: Final answer
    x = 434,032.11

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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.