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Finding the Fourth Proportional to 468,185.04, 702,351 and 152,569.08

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Solution

The fourth proportional to 468,185.04, 702,351 and 152,569.08 is: 228,877.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,185.04 : 702,351 = 152,569.08 : x
  2. Step 2: Convert to fraction form
    468,185.04/702,351 = 152,569.08/x
  3. Step 3: Cross multiply
    468,185.04x = 702,351 × 152,569.08
  4. Step 4: Simplify right side
    468,185.04x = 107,157,045,907.08
  5. Step 5: Solve for x
    x = 107,157,045,907.08/468,185.04
  6. Step 6: Final answer
    x = 228,877.55

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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.