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Finding the Fourth Proportional to 561,034.76, 841,970.12 and 411,661.04

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Solution

The fourth proportional to 561,034.76, 841,970.12 and 411,661.04 is: 617,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,034.76 : 841,970.12 = 411,661.04 : x
  2. Step 2: Convert to fraction form
    561,034.76/841,970.12 = 411,661.04/x
  3. Step 3: Cross multiply
    561,034.76x = 841,970.12 × 411,661.04
  4. Step 4: Simplify right side
    561,034.76x = 346,606,295,248.13
  5. Step 5: Solve for x
    x = 346,606,295,248.13/561,034.76
  6. Step 6: Final answer
    x = 617,798.25

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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.