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Finding the Fourth Proportional to 456,840.60, 685,358.10 and 141,329.40

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Solution

The fourth proportional to 456,840.60, 685,358.10 and 141,329.40 is: 212,024.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,840.60 : 685,358.10 = 141,329.40 : x
  2. Step 2: Convert to fraction form
    456,840.60/685,358.10 = 141,329.40/x
  3. Step 3: Cross multiply
    456,840.60x = 685,358.10 × 141,329.40
  4. Step 4: Simplify right side
    456,840.60x = 96,861,249,058.14
  5. Step 5: Solve for x
    x = 96,861,249,058.14/456,840.60
  6. Step 6: Final answer
    x = 212,024.17

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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.