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Finding the Fourth Proportional to 1,257,259.84, 1,735,793.76 and 865,461.76

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Solution

The fourth proportional to 1,257,259.84, 1,735,793.76 and 865,461.76 is: 1,194,870.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257,259.84 : 1,735,793.76 = 865,461.76 : x
  2. Step 2: Convert to fraction form
    1,257,259.84/1,735,793.76 = 865,461.76/x
  3. Step 3: Cross multiply
    1,257,259.84x = 1,735,793.76 × 865,461.76
  4. Step 4: Simplify right side
    1,257,259.84x = 1,502,263,122,526.62
  5. Step 5: Solve for x
    x = 1,502,263,122,526.62/1,257,259.84
  6. Step 6: Final answer
    x = 1,194,870.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.