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Finding the Fourth Proportional to 384,549.48, 575,688.30 and 284,042.28

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Solution

The fourth proportional to 384,549.48, 575,688.30 and 284,042.28 is: 425,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,549.48 : 575,688.30 = 284,042.28 : x
  2. Step 2: Convert to fraction form
    384,549.48/575,688.30 = 284,042.28/x
  3. Step 3: Cross multiply
    384,549.48x = 575,688.30 × 284,042.28
  4. Step 4: Simplify right side
    384,549.48x = 163,519,817,301.32
  5. Step 5: Solve for x
    x = 163,519,817,301.32/384,549.48
  6. Step 6: Final answer
    x = 425,224.39

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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.