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Finding the Fourth Proportional to 385,853.04, 532,477.20 and 213,782.16

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Solution

The fourth proportional to 385,853.04, 532,477.20 and 213,782.16 is: 295,019.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,853.04 : 532,477.20 = 213,782.16 : x
  2. Step 2: Convert to fraction form
    385,853.04/532,477.20 = 213,782.16/x
  3. Step 3: Cross multiply
    385,853.04x = 532,477.20 × 213,782.16
  4. Step 4: Simplify right side
    385,853.04x = 113,834,125,966.75
  5. Step 5: Solve for x
    x = 113,834,125,966.75/385,853.04
  6. Step 6: Final answer
    x = 295,019.38

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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.