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Finding the Fourth Proportional to 329,510.89, 454,595.01 and 206,931.16

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Solution

The fourth proportional to 329,510.89, 454,595.01 and 206,931.16 is: 285,483.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,510.89 : 454,595.01 = 206,931.16 : x
  2. Step 2: Convert to fraction form
    329,510.89/454,595.01 = 206,931.16/x
  3. Step 3: Cross multiply
    329,510.89x = 454,595.01 × 206,931.16
  4. Step 4: Simplify right side
    329,510.89x = 94,069,871,613.02
  5. Step 5: Solve for x
    x = 94,069,871,613.02/329,510.89
  6. Step 6: Final answer
    x = 285,483.35

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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.