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Finding the Fourth Proportional to 514,903.40, 772,355.10 and 465,914.60

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Solution

The fourth proportional to 514,903.40, 772,355.10 and 465,914.60 is: 698,871.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,903.40 : 772,355.10 = 465,914.60 : x
  2. Step 2: Convert to fraction form
    514,903.40/772,355.10 = 465,914.60/x
  3. Step 3: Cross multiply
    514,903.40x = 772,355.10 × 465,914.60
  4. Step 4: Simplify right side
    514,903.40x = 359,851,517,474.46
  5. Step 5: Solve for x
    x = 359,851,517,474.46/514,903.40
  6. Step 6: Final answer
    x = 698,871.90

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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.