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Finding the Fourth Proportional to 513,045.52, 708,138.41 and 295,281.00

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Solution

The fourth proportional to 513,045.52, 708,138.41 and 295,281.00 is: 407,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,045.52 : 708,138.41 = 295,281.00 : x
  2. Step 2: Convert to fraction form
    513,045.52/708,138.41 = 295,281.00/x
  3. Step 3: Cross multiply
    513,045.52x = 708,138.41 × 295,281.00
  4. Step 4: Simplify right side
    513,045.52x = 209,099,816,479.55
  5. Step 5: Solve for x
    x = 209,099,816,479.55/513,045.52
  6. Step 6: Final answer
    x = 407,565.82

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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.