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Finding the Fourth Proportional to 468,032.40, 702,048.60 and 410,295.60

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Solution

The fourth proportional to 468,032.40, 702,048.60 and 410,295.60 is: 615,443.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,032.40 : 702,048.60 = 410,295.60 : x
  2. Step 2: Convert to fraction form
    468,032.40/702,048.60 = 410,295.60/x
  3. Step 3: Cross multiply
    468,032.40x = 702,048.60 × 410,295.60
  4. Step 4: Simplify right side
    468,032.40x = 288,047,451,566.16
  5. Step 5: Solve for x
    x = 288,047,451,566.16/468,032.40
  6. Step 6: Final answer
    x = 615,443.40

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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.