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Finding the Fourth Proportional to 527,347.80, 727,784.73 and 297,947.16

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Solution

The fourth proportional to 527,347.80, 727,784.73 and 297,947.16 is: 411,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,347.80 : 727,784.73 = 297,947.16 : x
  2. Step 2: Convert to fraction form
    527,347.80/727,784.73 = 297,947.16/x
  3. Step 3: Cross multiply
    527,347.80x = 727,784.73 × 297,947.16
  4. Step 4: Simplify right side
    527,347.80x = 216,841,393,394.87
  5. Step 5: Solve for x
    x = 216,841,393,394.87/527,347.80
  6. Step 6: Final answer
    x = 411,192.37

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1.5x scale

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.