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Finding the Fourth Proportional to 514,151.04, 709,535.88 and 296,239.56

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Solution

The fourth proportional to 514,151.04, 709,535.88 and 296,239.56 is: 408,814.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,151.04 : 709,535.88 = 296,239.56 : x
  2. Step 2: Convert to fraction form
    514,151.04/709,535.88 = 296,239.56/x
  3. Step 3: Cross multiply
    514,151.04x = 709,535.88 × 296,239.56
  4. Step 4: Simplify right side
    514,151.04x = 210,192,596,895.41
  5. Step 5: Solve for x
    x = 210,192,596,895.41/514,151.04
  6. Step 6: Final answer
    x = 408,814.88

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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.