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Finding the Fourth Proportional to 541,436.42, 808,279.53 and 470,597.06

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Solution

The fourth proportional to 541,436.42, 808,279.53 and 470,597.06 is: 702,527.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,436.42 : 808,279.53 = 470,597.06 : x
  2. Step 2: Convert to fraction form
    541,436.42/808,279.53 = 470,597.06/x
  3. Step 3: Cross multiply
    541,436.42x = 808,279.53 × 470,597.06
  4. Step 4: Simplify right side
    541,436.42x = 380,373,968,123.20
  5. Step 5: Solve for x
    x = 380,373,968,123.20/541,436.42
  6. Step 6: Final answer
    x = 702,527.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.