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Finding the Fourth Proportional to 514,308.72, 709,753.53 and 296,513.64

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Solution

The fourth proportional to 514,308.72, 709,753.53 and 296,513.64 is: 409,193.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,308.72 : 709,753.53 = 296,513.64 : x
  2. Step 2: Convert to fraction form
    514,308.72/709,753.53 = 296,513.64/x
  3. Step 3: Cross multiply
    514,308.72x = 709,753.53 × 296,513.64
  4. Step 4: Simplify right side
    514,308.72x = 210,451,602,683.15
  5. Step 5: Solve for x
    x = 210,451,602,683.15/514,308.72
  6. Step 6: Final answer
    x = 409,193.15

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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.