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Finding the Fourth Proportional to 561,069.48, 841,598.46 and 140,345.40

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Solution

The fourth proportional to 561,069.48, 841,598.46 and 140,345.40 is: 210,516.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,069.48 : 841,598.46 = 140,345.40 : x
  2. Step 2: Convert to fraction form
    561,069.48/841,598.46 = 140,345.40/x
  3. Step 3: Cross multiply
    561,069.48x = 841,598.46 × 140,345.40
  4. Step 4: Simplify right side
    561,069.48x = 118,114,472,508.08
  5. Step 5: Solve for x
    x = 118,114,472,508.08/561,069.48
  6. Step 6: Final answer
    x = 210,516.66

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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.