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Finding the Fourth Proportional to 314,397.90, 471,300.39 and 156,477.06

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Solution

The fourth proportional to 314,397.90, 471,300.39 and 156,477.06 is: 234,568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,397.90 : 471,300.39 = 156,477.06 : x
  2. Step 2: Convert to fraction form
    314,397.90/471,300.39 = 156,477.06/x
  3. Step 3: Cross multiply
    314,397.90x = 471,300.39 × 156,477.06
  4. Step 4: Simplify right side
    314,397.90x = 73,747,699,404.05
  5. Step 5: Solve for x
    x = 73,747,699,404.05/314,397.90
  6. Step 6: Final answer
    x = 234,568.04

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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.