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Finding the Fourth Proportional to 284,509.18, 392,618.03 and 155,444.88

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Solution

The fourth proportional to 284,509.18, 392,618.03 and 155,444.88 is: 214,511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,509.18 : 392,618.03 = 155,444.88 : x
  2. Step 2: Convert to fraction form
    284,509.18/392,618.03 = 155,444.88/x
  3. Step 3: Cross multiply
    284,509.18x = 392,618.03 × 155,444.88
  4. Step 4: Simplify right side
    284,509.18x = 61,030,460,823.45
  5. Step 5: Solve for x
    x = 61,030,460,823.45/284,509.18
  6. Step 6: Final answer
    x = 214,511.39

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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.