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Finding the Fourth Proportional to 549,947.80, 824,921.70 and 461,374.30

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Solution

The fourth proportional to 549,947.80, 824,921.70 and 461,374.30 is: 692,061.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,947.80 : 824,921.70 = 461,374.30 : x
  2. Step 2: Convert to fraction form
    549,947.80/824,921.70 = 461,374.30/x
  3. Step 3: Cross multiply
    549,947.80x = 824,921.70 × 461,374.30
  4. Step 4: Simplify right side
    549,947.80x = 380,597,671,892.31
  5. Step 5: Solve for x
    x = 380,597,671,892.31/549,947.80
  6. Step 6: Final answer
    x = 692,061.45

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1.5x scale

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.