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Finding the Fourth Proportional to 527,603.57, 727,769.45 and 430,947.89

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Solution

The fourth proportional to 527,603.57, 727,769.45 and 430,947.89 is: 594,443.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,603.57 : 727,769.45 = 430,947.89 : x
  2. Step 2: Convert to fraction form
    527,603.57/727,769.45 = 430,947.89/x
  3. Step 3: Cross multiply
    527,603.57x = 727,769.45 × 430,947.89
  4. Step 4: Simplify right side
    527,603.57x = 313,630,706,729.22
  5. Step 5: Solve for x
    x = 313,630,706,729.22/527,603.57
  6. Step 6: Final answer
    x = 594,443.87

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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.