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Finding the Fourth Proportional to 973,253.11, 1,457,843.94 and 782,681.59

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Solution

The fourth proportional to 973,253.11, 1,457,843.94 and 782,681.59 is: 1,172,385.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,253.11 : 1,457,843.94 = 782,681.59 : x
  2. Step 2: Convert to fraction form
    973,253.11/1,457,843.94 = 782,681.59/x
  3. Step 3: Cross multiply
    973,253.11x = 1,457,843.94 × 782,681.59
  4. Step 4: Simplify right side
    973,253.11x = 1,141,027,612,931.06
  5. Step 5: Solve for x
    x = 1,141,027,612,931.06/973,253.11
  6. Step 6: Final answer
    x = 1,172,385.27

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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.