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Finding the Fourth Proportional to 527,643.61, 792,524.53 and 314,826.84

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Solution

The fourth proportional to 527,643.61, 792,524.53 and 314,826.84 is: 472,872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,643.61 : 792,524.53 = 314,826.84 : x
  2. Step 2: Convert to fraction form
    527,643.61/792,524.53 = 314,826.84/x
  3. Step 3: Cross multiply
    527,643.61x = 792,524.53 × 314,826.84
  4. Step 4: Simplify right side
    527,643.61x = 249,507,993,402.39
  5. Step 5: Solve for x
    x = 249,507,993,402.39/527,643.61
  6. Step 6: Final answer
    x = 472,872.20

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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.