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Finding the Fourth Proportional to 1,164,442, 1,746,663 and 322,993.76

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Solution

The fourth proportional to 1,164,442, 1,746,663 and 322,993.76 is: 484,490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,442 : 1,746,663 = 322,993.76 : x
  2. Step 2: Convert to fraction form
    1,164,442/1,746,663 = 322,993.76/x
  3. Step 3: Cross multiply
    1,164,442x = 1,746,663 × 322,993.76
  4. Step 4: Simplify right side
    1,164,442x = 564,161,249,822.88
  5. Step 5: Solve for x
    x = 564,161,249,822.88/1,164,442
  6. Step 6: Final answer
    x = 484,490.64

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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.