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Finding the Fourth Proportional to 561,300.32, 841,566.16 and 201,463.18

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Solution

The fourth proportional to 561,300.32, 841,566.16 and 201,463.18 is: 302,056.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,300.32 : 841,566.16 = 201,463.18 : x
  2. Step 2: Convert to fraction form
    561,300.32/841,566.16 = 201,463.18/x
  3. Step 3: Cross multiply
    561,300.32x = 841,566.16 × 201,463.18
  4. Step 4: Simplify right side
    561,300.32x = 169,544,594,773.99
  5. Step 5: Solve for x
    x = 169,544,594,773.99/561,300.32
  6. Step 6: Final answer
    x = 302,056.83

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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.