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Finding the Fourth Proportional to 827,534.08, 1,141,998 and 469,838.08

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Solution

The fourth proportional to 827,534.08, 1,141,998 and 469,838.08 is: 648,377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,534.08 : 1,141,998 = 469,838.08 : x
  2. Step 2: Convert to fraction form
    827,534.08/1,141,998 = 469,838.08/x
  3. Step 3: Cross multiply
    827,534.08x = 1,141,998 × 469,838.08
  4. Step 4: Simplify right side
    827,534.08x = 536,554,147,683.84
  5. Step 5: Solve for x
    x = 536,554,147,683.84/827,534.08
  6. Step 6: Final answer
    x = 648,377.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.