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Finding the Fourth Proportional to 468,329.84, 702,525 and 164,686.76

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Solution

The fourth proportional to 468,329.84, 702,525 and 164,686.76 is: 247,040.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,329.84 : 702,525 = 164,686.76 : x
  2. Step 2: Convert to fraction form
    468,329.84/702,525 = 164,686.76/x
  3. Step 3: Cross multiply
    468,329.84x = 702,525 × 164,686.76
  4. Step 4: Simplify right side
    468,329.84x = 115,696,566,069
  5. Step 5: Solve for x
    x = 115,696,566,069/468,329.84
  6. Step 6: Final answer
    x = 247,040.77

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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.