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Finding the Fourth Proportional to 314,326.98, 433,779.84 and 178,366.59

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Solution

The fourth proportional to 314,326.98, 433,779.84 and 178,366.59 is: 246,150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,326.98 : 433,779.84 = 178,366.59 : x
  2. Step 2: Convert to fraction form
    314,326.98/433,779.84 = 178,366.59/x
  3. Step 3: Cross multiply
    314,326.98x = 433,779.84 × 178,366.59
  4. Step 4: Simplify right side
    314,326.98x = 77,371,830,871.55
  5. Step 5: Solve for x
    x = 77,371,830,871.55/314,326.98
  6. Step 6: Final answer
    x = 246,150.78

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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.