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Finding the Fourth Proportional to 473,411.40, 653,311.90 and 269,475.45

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Solution

The fourth proportional to 473,411.40, 653,311.90 and 269,475.45 is: 371,878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,411.40 : 653,311.90 = 269,475.45 : x
  2. Step 2: Convert to fraction form
    473,411.40/653,311.90 = 269,475.45/x
  3. Step 3: Cross multiply
    473,411.40x = 653,311.90 × 269,475.45
  4. Step 4: Simplify right side
    473,411.40x = 176,051,518,242.86
  5. Step 5: Solve for x
    x = 176,051,518,242.86/473,411.40
  6. Step 6: Final answer
    x = 371,878.49

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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.