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Finding the Fourth Proportional to 473,806.31, 710,669.53 and 203,923.55

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Solution

The fourth proportional to 473,806.31, 710,669.53 and 203,923.55 is: 305,868.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,806.31 : 710,669.53 = 203,923.55 : x
  2. Step 2: Convert to fraction form
    473,806.31/710,669.53 = 203,923.55/x
  3. Step 3: Cross multiply
    473,806.31x = 710,669.53 × 203,923.55
  4. Step 4: Simplify right side
    473,806.31x = 144,922,249,371.28
  5. Step 5: Solve for x
    x = 144,922,249,371.28/473,806.31
  6. Step 6: Final answer
    x = 305,868.13

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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.