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Finding the Fourth Proportional to 366,688.16, 506,032.80 and 205,543.52

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Solution

The fourth proportional to 366,688.16, 506,032.80 and 205,543.52 is: 283,651.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,688.16 : 506,032.80 = 205,543.52 : x
  2. Step 2: Convert to fraction form
    366,688.16/506,032.80 = 205,543.52/x
  3. Step 3: Cross multiply
    366,688.16x = 506,032.80 × 205,543.52
  4. Step 4: Simplify right side
    366,688.16x = 104,011,762,947.46
  5. Step 5: Solve for x
    x = 104,011,762,947.46/366,688.16
  6. Step 6: Final answer
    x = 283,651.82

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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.