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Finding the Fourth Proportional to 564,066.54, 778,285.95 and 334,507.20

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Solution

The fourth proportional to 564,066.54, 778,285.95 and 334,507.20 is: 461,545.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,066.54 : 778,285.95 = 334,507.20 : x
  2. Step 2: Convert to fraction form
    564,066.54/778,285.95 = 334,507.20/x
  3. Step 3: Cross multiply
    564,066.54x = 778,285.95 × 334,507.20
  4. Step 4: Simplify right side
    564,066.54x = 260,342,253,933.84
  5. Step 5: Solve for x
    x = 260,342,253,933.84/564,066.54
  6. Step 6: Final answer
    x = 461,545.29

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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.