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Finding the Fourth Proportional to 406,223.03, 560,580.94 and 224,931.06

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Solution

The fourth proportional to 406,223.03, 560,580.94 and 224,931.06 is: 310,401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,223.03 : 560,580.94 = 224,931.06 : x
  2. Step 2: Convert to fraction form
    406,223.03/560,580.94 = 224,931.06/x
  3. Step 3: Cross multiply
    406,223.03x = 560,580.94 × 224,931.06
  4. Step 4: Simplify right side
    406,223.03x = 126,092,065,331.16
  5. Step 5: Solve for x
    x = 126,092,065,331.16/406,223.03
  6. Step 6: Final answer
    x = 310,401.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.