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Finding the Fourth Proportional to 576,005.40, 864,008.10 and 492,024.60

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Solution

The fourth proportional to 576,005.40, 864,008.10 and 492,024.60 is: 738,036.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,005.40 : 864,008.10 = 492,024.60 : x
  2. Step 2: Convert to fraction form
    576,005.40/864,008.10 = 492,024.60/x
  3. Step 3: Cross multiply
    576,005.40x = 864,008.10 × 492,024.60
  4. Step 4: Simplify right side
    576,005.40x = 425,113,239,799.26
  5. Step 5: Solve for x
    x = 425,113,239,799.26/576,005.40
  6. Step 6: Final answer
    x = 738,036.90

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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.