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Finding the Fourth Proportional to 473,538.32, 710,062.20 and 173,941.52

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Solution

The fourth proportional to 473,538.32, 710,062.20 and 173,941.52 is: 260,822.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,538.32 : 710,062.20 = 173,941.52 : x
  2. Step 2: Convert to fraction form
    473,538.32/710,062.20 = 173,941.52/x
  3. Step 3: Cross multiply
    473,538.32x = 710,062.20 × 173,941.52
  4. Step 4: Simplify right side
    473,538.32x = 123,509,298,362.54
  5. Step 5: Solve for x
    x = 123,509,298,362.54/473,538.32
  6. Step 6: Final answer
    x = 260,822.18

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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.