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Finding the Fourth Proportional to 597,969.16, 896,956.98 and 154,737.16

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Solution

The fourth proportional to 597,969.16, 896,956.98 and 154,737.16 is: 232,106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,969.16 : 896,956.98 = 154,737.16 : x
  2. Step 2: Convert to fraction form
    597,969.16/896,956.98 = 154,737.16/x
  3. Step 3: Cross multiply
    597,969.16x = 896,956.98 × 154,737.16
  4. Step 4: Simplify right side
    597,969.16x = 138,792,575,727.38
  5. Step 5: Solve for x
    x = 138,792,575,727.38/597,969.16
  6. Step 6: Final answer
    x = 232,106.58

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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.