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Finding the Fourth Proportional to 527,642.61, 792,523.03 and 314,825.84

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Solution

The fourth proportional to 527,642.61, 792,523.03 and 314,825.84 is: 472,870.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,642.61 : 792,523.03 = 314,825.84 : x
  2. Step 2: Convert to fraction form
    527,642.61/792,523.03 = 314,825.84/x
  3. Step 3: Cross multiply
    527,642.61x = 792,523.03 × 314,825.84
  4. Step 4: Simplify right side
    527,642.61x = 249,506,728,639.10
  5. Step 5: Solve for x
    x = 249,506,728,639.10/527,642.61
  6. Step 6: Final answer
    x = 472,870.70

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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.