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Finding the Fourth Proportional to 463,951.18, 695,756.06 and 160,268.05

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Solution

The fourth proportional to 463,951.18, 695,756.06 and 160,268.05 is: 240,343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,951.18 : 695,756.06 = 160,268.05 : x
  2. Step 2: Convert to fraction form
    463,951.18/695,756.06 = 160,268.05/x
  3. Step 3: Cross multiply
    463,951.18x = 695,756.06 × 160,268.05
  4. Step 4: Simplify right side
    463,951.18x = 111,507,462,731.76
  5. Step 5: Solve for x
    x = 111,507,462,731.76/463,951.18
  6. Step 6: Final answer
    x = 240,343.10

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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.