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Finding the Fourth Proportional to 522,248, 720,731.40 and 295,966.40

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Solution

The fourth proportional to 522,248, 720,731.40 and 295,966.40 is: 408,450.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,248 : 720,731.40 = 295,966.40 : x
  2. Step 2: Convert to fraction form
    522,248/720,731.40 = 295,966.40/x
  3. Step 3: Cross multiply
    522,248x = 720,731.40 × 295,966.40
  4. Step 4: Simplify right side
    522,248x = 213,312,277,824.96
  5. Step 5: Solve for x
    x = 213,312,277,824.96/522,248
  6. Step 6: Final answer
    x = 408,450.16

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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.