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Finding the Fourth Proportional to 473,697.37, 710,549.13 and 189,411.81

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Solution

The fourth proportional to 473,697.37, 710,549.13 and 189,411.81 is: 284,118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,697.37 : 710,549.13 = 189,411.81 : x
  2. Step 2: Convert to fraction form
    473,697.37/710,549.13 = 189,411.81/x
  3. Step 3: Cross multiply
    473,697.37x = 710,549.13 × 189,411.81
  4. Step 4: Simplify right side
    473,697.37x = 134,586,394,852.96
  5. Step 5: Solve for x
    x = 134,586,394,852.96/473,697.37
  6. Step 6: Final answer
    x = 284,118.94

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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.