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Finding the Fourth Proportional to 314,854.20, 472,281.30 and 297,795.60

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Solution

The fourth proportional to 314,854.20, 472,281.30 and 297,795.60 is: 446,693.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,854.20 : 472,281.30 = 297,795.60 : x
  2. Step 2: Convert to fraction form
    314,854.20/472,281.30 = 297,795.60/x
  3. Step 3: Cross multiply
    314,854.20x = 472,281.30 × 297,795.60
  4. Step 4: Simplify right side
    314,854.20x = 140,643,293,102.28
  5. Step 5: Solve for x
    x = 140,643,293,102.28/314,854.20
  6. Step 6: Final answer
    x = 446,693.40

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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.