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Finding the Fourth Proportional to 424,863.04, 586,327.76 and 233,894.20

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Solution

The fourth proportional to 424,863.04, 586,327.76 and 233,894.20 is: 322,783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,863.04 : 586,327.76 = 233,894.20 : x
  2. Step 2: Convert to fraction form
    424,863.04/586,327.76 = 233,894.20/x
  3. Step 3: Cross multiply
    424,863.04x = 586,327.76 × 233,894.20
  4. Step 4: Simplify right side
    424,863.04x = 137,138,662,362.99
  5. Step 5: Solve for x
    x = 137,138,662,362.99/424,863.04
  6. Step 6: Final answer
    x = 322,783.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.