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Finding the Fourth Proportional to 581,910.84, 803,432.34 and 428,966.64

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Solution

The fourth proportional to 581,910.84, 803,432.34 and 428,966.64 is: 592,265.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,910.84 : 803,432.34 = 428,966.64 : x
  2. Step 2: Convert to fraction form
    581,910.84/803,432.34 = 428,966.64/x
  3. Step 3: Cross multiply
    581,910.84x = 803,432.34 × 428,966.64
  4. Step 4: Simplify right side
    581,910.84x = 344,645,671,357.14
  5. Step 5: Solve for x
    x = 344,645,671,357.14/581,910.84
  6. Step 6: Final answer
    x = 592,265.43

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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.