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Finding the Fourth Proportional to 390,078.40, 585,117.60 and 344,977.60

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Solution

The fourth proportional to 390,078.40, 585,117.60 and 344,977.60 is: 517,466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,078.40 : 585,117.60 = 344,977.60 : x
  2. Step 2: Convert to fraction form
    390,078.40/585,117.60 = 344,977.60/x
  3. Step 3: Cross multiply
    390,078.40x = 585,117.60 × 344,977.60
  4. Step 4: Simplify right side
    390,078.40x = 201,852,465,365.76
  5. Step 5: Solve for x
    x = 201,852,465,365.76/390,078.40
  6. Step 6: Final answer
    x = 517,466.40

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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.