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Finding the Fourth Proportional to 307,218.60, 460,827.90 and 282,335.40

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Solution

The fourth proportional to 307,218.60, 460,827.90 and 282,335.40 is: 423,503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,218.60 : 460,827.90 = 282,335.40 : x
  2. Step 2: Convert to fraction form
    307,218.60/460,827.90 = 282,335.40/x
  3. Step 3: Cross multiply
    307,218.60x = 460,827.90 × 282,335.40
  4. Step 4: Simplify right side
    307,218.60x = 130,108,029,477.66
  5. Step 5: Solve for x
    x = 130,108,029,477.66/307,218.60
  6. Step 6: Final answer
    x = 423,503.10

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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.