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Finding the Fourth Proportional to 475,342.74, 712,643.90 and 235,290.94

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Solution

The fourth proportional to 475,342.74, 712,643.90 and 235,290.94 is: 352,753.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,342.74 : 712,643.90 = 235,290.94 : x
  2. Step 2: Convert to fraction form
    475,342.74/712,643.90 = 235,290.94/x
  3. Step 3: Cross multiply
    475,342.74x = 712,643.90 × 235,290.94
  4. Step 4: Simplify right side
    475,342.74x = 167,678,653,116.27
  5. Step 5: Solve for x
    x = 167,678,653,116.27/475,342.74
  6. Step 6: Final answer
    x = 352,753.16

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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.