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Finding the Fourth Proportional to 942,167.40, 1,411,695.90 and 802,199.40

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Solution

The fourth proportional to 942,167.40, 1,411,695.90 and 802,199.40 is: 1,201,974.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,167.40 : 1,411,695.90 = 802,199.40 : x
  2. Step 2: Convert to fraction form
    942,167.40/1,411,695.90 = 802,199.40/x
  3. Step 3: Cross multiply
    942,167.40x = 1,411,695.90 × 802,199.40
  4. Step 4: Simplify right side
    942,167.40x = 1,132,461,603,962.46
  5. Step 5: Solve for x
    x = 1,132,461,603,962.46/942,167.40
  6. Step 6: Final answer
    x = 1,201,974.94

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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.