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Finding the Fourth Proportional to 546,637.46, 753,868.52 and 342,710.64

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Solution

The fourth proportional to 546,637.46, 753,868.52 and 342,710.64 is: 472,632.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,637.46 : 753,868.52 = 342,710.64 : x
  2. Step 2: Convert to fraction form
    546,637.46/753,868.52 = 342,710.64/x
  3. Step 3: Cross multiply
    546,637.46x = 753,868.52 × 342,710.64
  4. Step 4: Simplify right side
    546,637.46x = 258,358,762,965.05
  5. Step 5: Solve for x
    x = 258,358,762,965.05/546,637.46
  6. Step 6: Final answer
    x = 472,632.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.