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Finding the Fourth Proportional to 468,115.23, 702,192.29 and 152,574.87

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Solution

The fourth proportional to 468,115.23, 702,192.29 and 152,574.87 is: 228,868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,115.23 : 702,192.29 = 152,574.87 : x
  2. Step 2: Convert to fraction form
    468,115.23/702,192.29 = 152,574.87/x
  3. Step 3: Cross multiply
    468,115.23x = 702,192.29 × 152,574.87
  4. Step 4: Simplify right side
    468,115.23x = 107,136,896,598.88
  5. Step 5: Solve for x
    x = 107,136,896,598.88/468,115.23
  6. Step 6: Final answer
    x = 228,868.64

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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.