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Finding the Fourth Proportional to 407,921.48, 563,012.55 and 260,652.14

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Solution

The fourth proportional to 407,921.48, 563,012.55 and 260,652.14 is: 359,751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,921.48 : 563,012.55 = 260,652.14 : x
  2. Step 2: Convert to fraction form
    407,921.48/563,012.55 = 260,652.14/x
  3. Step 3: Cross multiply
    407,921.48x = 563,012.55 × 260,652.14
  4. Step 4: Simplify right side
    407,921.48x = 146,750,426,004.36
  5. Step 5: Solve for x
    x = 146,750,426,004.36/407,921.48
  6. Step 6: Final answer
    x = 359,751.65

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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.