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Finding the Fourth Proportional to 576,006.40, 864,009.60 and 492,025.60

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Solution

The fourth proportional to 576,006.40, 864,009.60 and 492,025.60 is: 738,038.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,006.40 : 864,009.60 = 492,025.60 : x
  2. Step 2: Convert to fraction form
    576,006.40/864,009.60 = 492,025.60/x
  3. Step 3: Cross multiply
    576,006.40x = 864,009.60 × 492,025.60
  4. Step 4: Simplify right side
    576,006.40x = 425,114,841,845.76
  5. Step 5: Solve for x
    x = 425,114,841,845.76/576,006.40
  6. Step 6: Final answer
    x = 738,038.40

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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.