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Finding the Fourth Proportional to 520,078.40, 780,117.60 and 462,017.60

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Solution

The fourth proportional to 520,078.40, 780,117.60 and 462,017.60 is: 693,026.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,078.40 : 780,117.60 = 462,017.60 : x
  2. Step 2: Convert to fraction form
    520,078.40/780,117.60 = 462,017.60/x
  3. Step 3: Cross multiply
    520,078.40x = 780,117.60 × 462,017.60
  4. Step 4: Simplify right side
    520,078.40x = 360,428,061,269.76
  5. Step 5: Solve for x
    x = 360,428,061,269.76/520,078.40
  6. Step 6: Final answer
    x = 693,026.40

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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.