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Finding the Fourth Proportional to 463,897.32, 695,888.48 and 144,051

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Solution

The fourth proportional to 463,897.32, 695,888.48 and 144,051 is: 216,089.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,897.32 : 695,888.48 = 144,051 : x
  2. Step 2: Convert to fraction form
    463,897.32/695,888.48 = 144,051/x
  3. Step 3: Cross multiply
    463,897.32x = 695,888.48 × 144,051
  4. Step 4: Simplify right side
    463,897.32x = 100,243,431,432.48
  5. Step 5: Solve for x
    x = 100,243,431,432.48/463,897.32
  6. Step 6: Final answer
    x = 216,089.70

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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.