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Finding the Fourth Proportional to 314,452.10, 471,678.15 and 156,988.10

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Solution

The fourth proportional to 314,452.10, 471,678.15 and 156,988.10 is: 235,482.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,452.10 : 471,678.15 = 156,988.10 : x
  2. Step 2: Convert to fraction form
    314,452.10/471,678.15 = 156,988.10/x
  3. Step 3: Cross multiply
    314,452.10x = 471,678.15 × 156,988.10
  4. Step 4: Simplify right side
    314,452.10x = 74,047,856,580.02
  5. Step 5: Solve for x
    x = 74,047,856,580.02/314,452.10
  6. Step 6: Final answer
    x = 235,482.15

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1.5x scale

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.