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Finding the Fourth Proportional to 473,905.80, 709,476.30 and 460,081.80

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Solution

The fourth proportional to 473,905.80, 709,476.30 and 460,081.80 is: 688,780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,905.80 : 709,476.30 = 460,081.80 : x
  2. Step 2: Convert to fraction form
    473,905.80/709,476.30 = 460,081.80/x
  3. Step 3: Cross multiply
    473,905.80x = 709,476.30 × 460,081.80
  4. Step 4: Simplify right side
    473,905.80x = 326,417,133,161.34
  5. Step 5: Solve for x
    x = 326,417,133,161.34/473,905.80
  6. Step 6: Final answer
    x = 688,780.63

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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.