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Finding the Fourth Proportional to 1,164,932.92, 1,746,914.82 and 406,612.36

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Solution

The fourth proportional to 1,164,932.92, 1,746,914.82 and 406,612.36 is: 609,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,932.92 : 1,746,914.82 = 406,612.36 : x
  2. Step 2: Convert to fraction form
    1,164,932.92/1,746,914.82 = 406,612.36/x
  3. Step 3: Cross multiply
    1,164,932.92x = 1,746,914.82 × 406,612.36
  4. Step 4: Simplify right side
    1,164,932.92x = 710,317,157,679.18
  5. Step 5: Solve for x
    x = 710,317,157,679.18/1,164,932.92
  6. Step 6: Final answer
    x = 609,749.41

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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.