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Finding the Fourth Proportional to 383,643.41, 575,549.40 and 117,424.45

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Solution

The fourth proportional to 383,643.41, 575,549.40 and 117,424.45 is: 176,162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,643.41 : 575,549.40 = 117,424.45 : x
  2. Step 2: Convert to fraction form
    383,643.41/575,549.40 = 117,424.45/x
  3. Step 3: Cross multiply
    383,643.41x = 575,549.40 × 117,424.45
  4. Step 4: Simplify right side
    383,643.41x = 67,583,572,242.10
  5. Step 5: Solve for x
    x = 67,583,572,242.10/383,643.41
  6. Step 6: Final answer
    x = 176,162.48

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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.