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Finding the Fourth Proportional to 546,416.46, 753,609.15 and 458,864.10

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Solution

The fourth proportional to 546,416.46, 753,609.15 and 458,864.10 is: 632,858.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,416.46 : 753,609.15 = 458,864.10 : x
  2. Step 2: Convert to fraction form
    546,416.46/753,609.15 = 458,864.10/x
  3. Step 3: Cross multiply
    546,416.46x = 753,609.15 × 458,864.10
  4. Step 4: Simplify right side
    546,416.46x = 345,804,184,366.52
  5. Step 5: Solve for x
    x = 345,804,184,366.52/546,416.46
  6. Step 6: Final answer
    x = 632,858.29

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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.