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Finding the Fourth Proportional to 406,988.13, 561,643.62 and 228,140.13

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Solution

The fourth proportional to 406,988.13, 561,643.62 and 228,140.13 is: 314,833.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,988.13 : 561,643.62 = 228,140.13 : x
  2. Step 2: Convert to fraction form
    406,988.13/561,643.62 = 228,140.13/x
  3. Step 3: Cross multiply
    406,988.13x = 561,643.62 × 228,140.13
  4. Step 4: Simplify right side
    406,988.13x = 128,133,448,480.47
  5. Step 5: Solve for x
    x = 128,133,448,480.47/406,988.13
  6. Step 6: Final answer
    x = 314,833.38

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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.