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Finding the Fourth Proportional to 553,026.18, 829,538.80 and 153,666.76

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Solution

The fourth proportional to 553,026.18, 829,538.80 and 153,666.76 is: 230,500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,026.18 : 829,538.80 = 153,666.76 : x
  2. Step 2: Convert to fraction form
    553,026.18/829,538.80 = 153,666.76/x
  3. Step 3: Cross multiply
    553,026.18x = 829,538.80 × 153,666.76
  4. Step 4: Simplify right side
    553,026.18x = 127,472,539,690.29
  5. Step 5: Solve for x
    x = 127,472,539,690.29/553,026.18
  6. Step 6: Final answer
    x = 230,500.01

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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.