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Finding the Fourth Proportional to 465,097.40, 697,646.10 and 458,876.60

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Solution

The fourth proportional to 465,097.40, 697,646.10 and 458,876.60 is: 688,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,097.40 : 697,646.10 = 458,876.60 : x
  2. Step 2: Convert to fraction form
    465,097.40/697,646.10 = 458,876.60/x
  3. Step 3: Cross multiply
    465,097.40x = 697,646.10 × 458,876.60
  4. Step 4: Simplify right side
    465,097.40x = 320,133,470,371.26
  5. Step 5: Solve for x
    x = 320,133,470,371.26/465,097.40
  6. Step 6: Final answer
    x = 688,314.90

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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.