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Finding the Fourth Proportional to 1,503,414, 2,074,711.46 and 824,365.08

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Solution

The fourth proportional to 1,503,414, 2,074,711.46 and 824,365.08 is: 1,137,623.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503,414 : 2,074,711.46 = 824,365.08 : x
  2. Step 2: Convert to fraction form
    1,503,414/2,074,711.46 = 824,365.08/x
  3. Step 3: Cross multiply
    1,503,414x = 2,074,711.46 × 824,365.08
  4. Step 4: Simplify right side
    1,503,414x = 1,710,319,674,577.99
  5. Step 5: Solve for x
    x = 1,710,319,674,577.99/1,503,414
  6. Step 6: Final answer
    x = 1,137,623.88

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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.