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Finding the Fourth Proportional to 1,298,395.40, 1,947,593.10 and 411,931.40

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Solution

The fourth proportional to 1,298,395.40, 1,947,593.10 and 411,931.40 is: 617,897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,395.40 : 1,947,593.10 = 411,931.40 : x
  2. Step 2: Convert to fraction form
    1,298,395.40/1,947,593.10 = 411,931.40/x
  3. Step 3: Cross multiply
    1,298,395.40x = 1,947,593.10 × 411,931.40
  4. Step 4: Simplify right side
    1,298,395.40x = 802,274,752,313.34
  5. Step 5: Solve for x
    x = 802,274,752,313.34/1,298,395.40
  6. Step 6: Final answer
    x = 617,897.10

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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.