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Finding the Fourth Proportional to 314,347.88, 433,807.14 and 178,390.76

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Solution

The fourth proportional to 314,347.88, 433,807.14 and 178,390.76 is: 246,183.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,347.88 : 433,807.14 = 178,390.76 : x
  2. Step 2: Convert to fraction form
    314,347.88/433,807.14 = 178,390.76/x
  3. Step 3: Cross multiply
    314,347.88x = 433,807.14 × 178,390.76
  4. Step 4: Simplify right side
    314,347.88x = 77,387,185,398.03
  5. Step 5: Solve for x
    x = 77,387,185,398.03/314,347.88
  6. Step 6: Final answer
    x = 246,183.26

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1.5x scale

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.