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Finding the Fourth Proportional to 402,272.30, 602,890.05 and 308,312.30

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Solution

The fourth proportional to 402,272.30, 602,890.05 and 308,312.30 is: 462,071.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,272.30 : 602,890.05 = 308,312.30 : x
  2. Step 2: Convert to fraction form
    402,272.30/602,890.05 = 308,312.30/x
  3. Step 3: Cross multiply
    402,272.30x = 602,890.05 × 308,312.30
  4. Step 4: Simplify right side
    402,272.30x = 185,878,417,962.62
  5. Step 5: Solve for x
    x = 185,878,417,962.62/402,272.30
  6. Step 6: Final answer
    x = 462,071.13

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