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Finding the Fourth Proportional to 291,571.60, 402,358.34 and 162,503.06

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Solution

The fourth proportional to 291,571.60, 402,358.34 and 162,503.06 is: 224,248.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,571.60 : 402,358.34 = 162,503.06 : x
  2. Step 2: Convert to fraction form
    291,571.60/402,358.34 = 162,503.06/x
  3. Step 3: Cross multiply
    291,571.60x = 402,358.34 × 162,503.06
  4. Step 4: Simplify right side
    291,571.60x = 65,384,461,210.17
  5. Step 5: Solve for x
    x = 65,384,461,210.17/291,571.60
  6. Step 6: Final answer
    x = 224,248.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.