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Finding the Fourth Proportional to 589,681.64, 884,981.73 and 411,025.61

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Solution

The fourth proportional to 589,681.64, 884,981.73 and 411,025.61 is: 616,858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,681.64 : 884,981.73 = 411,025.61 : x
  2. Step 2: Convert to fraction form
    589,681.64/884,981.73 = 411,025.61/x
  3. Step 3: Cross multiply
    589,681.64x = 884,981.73 × 411,025.61
  4. Step 4: Simplify right side
    589,681.64x = 363,750,159,165.91
  5. Step 5: Solve for x
    x = 363,750,159,165.91/589,681.64
  6. Step 6: Final answer
    x = 616,858.54

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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.