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Finding the Fourth Proportional to 514,022.76, 709,404.42 and 296,239.08

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Solution

The fourth proportional to 514,022.76, 709,404.42 and 296,239.08 is: 408,840.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,022.76 : 709,404.42 = 296,239.08 : x
  2. Step 2: Convert to fraction form
    514,022.76/709,404.42 = 296,239.08/x
  3. Step 3: Cross multiply
    514,022.76x = 709,404.42 × 296,239.08
  4. Step 4: Simplify right side
    514,022.76x = 210,153,312,728.73
  5. Step 5: Solve for x
    x = 210,153,312,728.73/514,022.76
  6. Step 6: Final answer
    x = 408,840.48

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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.