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Finding the Fourth Proportional to 564,059.09, 778,275.62 and 334,499.72

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Solution

The fourth proportional to 564,059.09, 778,275.62 and 334,499.72 is: 461,534.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,059.09 : 778,275.62 = 334,499.72 : x
  2. Step 2: Convert to fraction form
    564,059.09/778,275.62 = 334,499.72/x
  3. Step 3: Cross multiply
    564,059.09x = 778,275.62 × 334,499.72
  4. Step 4: Simplify right side
    564,059.09x = 260,332,976,972.83
  5. Step 5: Solve for x
    x = 260,332,976,972.83/564,059.09
  6. Step 6: Final answer
    x = 461,534.94

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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.