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Finding the Fourth Proportional to 1,102,470, 1,653,705 and 354,516

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Solution

The fourth proportional to 1,102,470, 1,653,705 and 354,516 is: 531,774

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,470 : 1,653,705 = 354,516 : x
  2. Step 2: Convert to fraction form
    1,102,470/1,653,705 = 354,516/x
  3. Step 3: Cross multiply
    1,102,470x = 1,653,705 × 354,516
  4. Step 4: Simplify right side
    1,102,470x = 586,264,881,780
  5. Step 5: Solve for x
    x = 586,264,881,780/1,102,470
  6. Step 6: Final answer
    x = 531,774

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.