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Finding the Fourth Proportional to 227,698.40, 341,547.60 and 152,854.40

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Solution

The fourth proportional to 227,698.40, 341,547.60 and 152,854.40 is: 229,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,698.40 : 341,547.60 = 152,854.40 : x
  2. Step 2: Convert to fraction form
    227,698.40/341,547.60 = 152,854.40/x
  3. Step 3: Cross multiply
    227,698.40x = 341,547.60 × 152,854.40
  4. Step 4: Simplify right side
    227,698.40x = 52,207,053,469.44
  5. Step 5: Solve for x
    x = 52,207,053,469.44/227,698.40
  6. Step 6: Final answer
    x = 229,281.60

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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.