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Finding the Fourth Proportional to 314,567.70, 471,851.55 and 157,103.70

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Solution

The fourth proportional to 314,567.70, 471,851.55 and 157,103.70 is: 235,655.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,567.70 : 471,851.55 = 157,103.70 : x
  2. Step 2: Convert to fraction form
    314,567.70/471,851.55 = 157,103.70/x
  3. Step 3: Cross multiply
    314,567.70x = 471,851.55 × 157,103.70
  4. Step 4: Simplify right side
    314,567.70x = 74,129,624,355.74
  5. Step 5: Solve for x
    x = 74,129,624,355.74/314,567.70
  6. Step 6: Final answer
    x = 235,655.55

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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.