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Finding the Fourth Proportional to 384,020.90, 576,031.35 and 362,248.10

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Solution

The fourth proportional to 384,020.90, 576,031.35 and 362,248.10 is: 543,372.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,020.90 : 576,031.35 = 362,248.10 : x
  2. Step 2: Convert to fraction form
    384,020.90/576,031.35 = 362,248.10/x
  3. Step 3: Cross multiply
    384,020.90x = 576,031.35 × 362,248.10
  4. Step 4: Simplify right side
    384,020.90x = 208,666,262,077.94
  5. Step 5: Solve for x
    x = 208,666,262,077.94/384,020.90
  6. Step 6: Final answer
    x = 543,372.15

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Why These Related Problems?

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