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Finding the Fourth Proportional to 437,541.60, 656,312.40 and 157,022.40

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Solution

The fourth proportional to 437,541.60, 656,312.40 and 157,022.40 is: 235,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,541.60 : 656,312.40 = 157,022.40 : x
  2. Step 2: Convert to fraction form
    437,541.60/656,312.40 = 157,022.40/x
  3. Step 3: Cross multiply
    437,541.60x = 656,312.40 × 157,022.40
  4. Step 4: Simplify right side
    437,541.60x = 103,055,748,197.76
  5. Step 5: Solve for x
    x = 103,055,748,197.76/437,541.60
  6. Step 6: Final answer
    x = 235,533.60

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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.