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Finding the Fourth Proportional to 1,411,944.54, 1,948,498.53 and 767,364.78

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Solution

The fourth proportional to 1,411,944.54, 1,948,498.53 and 767,364.78 is: 1,058,971.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,944.54 : 1,948,498.53 = 767,364.78 : x
  2. Step 2: Convert to fraction form
    1,411,944.54/1,948,498.53 = 767,364.78/x
  3. Step 3: Cross multiply
    1,411,944.54x = 1,948,498.53 × 767,364.78
  4. Step 4: Simplify right side
    1,411,944.54x = 1,495,209,145,803.77
  5. Step 5: Solve for x
    x = 1,495,209,145,803.77/1,411,944.54
  6. Step 6: Final answer
    x = 1,058,971.58

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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.