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Finding the Fourth Proportional to 458,318.40, 687,477.60 and 452,097.60

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Solution

The fourth proportional to 458,318.40, 687,477.60 and 452,097.60 is: 678,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,318.40 : 687,477.60 = 452,097.60 : x
  2. Step 2: Convert to fraction form
    458,318.40/687,477.60 = 452,097.60/x
  3. Step 3: Cross multiply
    458,318.40x = 687,477.60 × 452,097.60
  4. Step 4: Simplify right side
    458,318.40x = 310,806,973,013.76
  5. Step 5: Solve for x
    x = 310,806,973,013.76/458,318.40
  6. Step 6: Final answer
    x = 678,146.40

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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.