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Finding the Fourth Proportional to 473,230, 653,114.64 and 269,330.46

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Solution

The fourth proportional to 473,230, 653,114.64 and 269,330.46 is: 371,708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,230 : 653,114.64 = 269,330.46 : x
  2. Step 2: Convert to fraction form
    473,230/653,114.64 = 269,330.46/x
  3. Step 3: Cross multiply
    473,230x = 653,114.64 × 269,330.46
  4. Step 4: Simplify right side
    473,230x = 175,903,666,423.93
  5. Step 5: Solve for x
    x = 175,903,666,423.93/473,230
  6. Step 6: Final answer
    x = 371,708.61

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Why These Related Problems?

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