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Finding the Fourth Proportional to 597,438.84, 896,158.26 and 176,681.94

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Solution

The fourth proportional to 597,438.84, 896,158.26 and 176,681.94 is: 265,022.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,438.84 : 896,158.26 = 176,681.94 : x
  2. Step 2: Convert to fraction form
    597,438.84/896,158.26 = 176,681.94/x
  3. Step 3: Cross multiply
    597,438.84x = 896,158.26 × 176,681.94
  4. Step 4: Simplify right side
    597,438.84x = 158,334,979,923.82
  5. Step 5: Solve for x
    x = 158,334,979,923.82/597,438.84
  6. Step 6: Final answer
    x = 265,022.91

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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.