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Finding the Fourth Proportional to 475,397.06, 711,488.12 and 462,603.12

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Solution

The fourth proportional to 475,397.06, 711,488.12 and 462,603.12 is: 692,340.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,397.06 : 711,488.12 = 462,603.12 : x
  2. Step 2: Convert to fraction form
    475,397.06/711,488.12 = 462,603.12/x
  3. Step 3: Cross multiply
    475,397.06x = 711,488.12 × 462,603.12
  4. Step 4: Simplify right side
    475,397.06x = 329,136,624,154.93
  5. Step 5: Solve for x
    x = 329,136,624,154.93/475,397.06
  6. Step 6: Final answer
    x = 692,340.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.