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Finding the Fourth Proportional to 307,215.60, 460,823.40 and 282,332.40

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Solution

The fourth proportional to 307,215.60, 460,823.40 and 282,332.40 is: 423,498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,215.60 : 460,823.40 = 282,332.40 : x
  2. Step 2: Convert to fraction form
    307,215.60/460,823.40 = 282,332.40/x
  3. Step 3: Cross multiply
    307,215.60x = 460,823.40 × 282,332.40
  4. Step 4: Simplify right side
    307,215.60x = 130,105,376,498.16
  5. Step 5: Solve for x
    x = 130,105,376,498.16/307,215.60
  6. Step 6: Final answer
    x = 423,498.60

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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.