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Finding the Fourth Proportional to 292,226.40, 438,383.40 and 123,746.40

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Solution

The fourth proportional to 292,226.40, 438,383.40 and 123,746.40 is: 185,638.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,226.40 : 438,383.40 = 123,746.40 : x
  2. Step 2: Convert to fraction form
    292,226.40/438,383.40 = 123,746.40/x
  3. Step 3: Cross multiply
    292,226.40x = 438,383.40 × 123,746.40
  4. Step 4: Simplify right side
    292,226.40x = 54,248,367,569.76
  5. Step 5: Solve for x
    x = 54,248,367,569.76/292,226.40
  6. Step 6: Final answer
    x = 185,638.15

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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.