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Finding the Fourth Proportional to 942,802.40, 1,412,648.40 and 802,834.40

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Solution

The fourth proportional to 942,802.40, 1,412,648.40 and 802,834.40 is: 1,202,927.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,802.40 : 1,412,648.40 = 802,834.40 : x
  2. Step 2: Convert to fraction form
    942,802.40/1,412,648.40 = 802,834.40/x
  3. Step 3: Cross multiply
    942,802.40x = 1,412,648.40 × 802,834.40
  4. Step 4: Simplify right side
    942,802.40x = 1,134,122,730,624.96
  5. Step 5: Solve for x
    x = 1,134,122,730,624.96/942,802.40
  6. Step 6: Final answer
    x = 1,202,927.28

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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.