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Finding the Fourth Proportional to 547,709.93, 821,565.24 and 358,329.40

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Solution

The fourth proportional to 547,709.93, 821,565.24 and 358,329.40 is: 537,494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,709.93 : 821,565.24 = 358,329.40 : x
  2. Step 2: Convert to fraction form
    547,709.93/821,565.24 = 358,329.40/x
  3. Step 3: Cross multiply
    547,709.93x = 821,565.24 × 358,329.40
  4. Step 4: Simplify right side
    547,709.93x = 294,390,979,510.06
  5. Step 5: Solve for x
    x = 294,390,979,510.06/547,709.93
  6. Step 6: Final answer
    x = 537,494.33

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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.