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Finding the Fourth Proportional to 835,545.32, 1,153,059.32 and 463,014.47

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Solution

The fourth proportional to 835,545.32, 1,153,059.32 and 463,014.47 is: 638,963.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,545.32 : 1,153,059.32 = 463,014.47 : x
  2. Step 2: Convert to fraction form
    835,545.32/1,153,059.32 = 463,014.47/x
  3. Step 3: Cross multiply
    835,545.32x = 1,153,059.32 × 463,014.47
  4. Step 4: Simplify right side
    835,545.32x = 533,883,147,687.03
  5. Step 5: Solve for x
    x = 533,883,147,687.03/835,545.32
  6. Step 6: Final answer
    x = 638,963.72

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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.