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Finding the Fourth Proportional to 553,029.20, 829,543.28 and 153,669.76

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Solution

The fourth proportional to 553,029.20, 829,543.28 and 153,669.76 is: 230,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,029.20 : 829,543.28 = 153,669.76 : x
  2. Step 2: Convert to fraction form
    553,029.20/829,543.28 = 153,669.76/x
  3. Step 3: Cross multiply
    553,029.20x = 829,543.28 × 153,669.76
  4. Step 4: Simplify right side
    553,029.20x = 127,475,716,747.21
  5. Step 5: Solve for x
    x = 127,475,716,747.21/553,029.20
  6. Step 6: Final answer
    x = 230,504.50

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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.