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Finding the Fourth Proportional to 314,266.58, 433,697.66 and 178,306.26

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Solution

The fourth proportional to 314,266.58, 433,697.66 and 178,306.26 is: 246,068.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,266.58 : 433,697.66 = 178,306.26 : x
  2. Step 2: Convert to fraction form
    314,266.58/433,697.66 = 178,306.26/x
  3. Step 3: Cross multiply
    314,266.58x = 433,697.66 × 178,306.26
  4. Step 4: Simplify right side
    314,266.58x = 77,331,005,876.10
  5. Step 5: Solve for x
    x = 77,331,005,876.10/314,266.58
  6. Step 6: Final answer
    x = 246,068.18

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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.