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Finding the Fourth Proportional to 832,005.60, 1,248,008.40 and 411,346.40

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Solution

The fourth proportional to 832,005.60, 1,248,008.40 and 411,346.40 is: 617,019.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,005.60 : 1,248,008.40 = 411,346.40 : x
  2. Step 2: Convert to fraction form
    832,005.60/1,248,008.40 = 411,346.40/x
  3. Step 3: Cross multiply
    832,005.60x = 1,248,008.40 × 411,346.40
  4. Step 4: Simplify right side
    832,005.60x = 513,363,762,509.76
  5. Step 5: Solve for x
    x = 513,363,762,509.76/832,005.60
  6. Step 6: Final answer
    x = 617,019.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.