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Finding the Fourth Proportional to 476,782.49, 715,095.12 and 156,938.52

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Solution

The fourth proportional to 476,782.49, 715,095.12 and 156,938.52 is: 235,381.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,782.49 : 715,095.12 = 156,938.52 : x
  2. Step 2: Convert to fraction form
    476,782.49/715,095.12 = 156,938.52/x
  3. Step 3: Cross multiply
    476,782.49x = 715,095.12 × 156,938.52
  4. Step 4: Simplify right side
    476,782.49x = 112,225,969,792.02
  5. Step 5: Solve for x
    x = 112,225,969,792.02/476,782.49
  6. Step 6: Final answer
    x = 235,381.91

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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.