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Finding the Fourth Proportional to 473,164.50, 709,858.63 and 153,315.84

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Solution

The fourth proportional to 473,164.50, 709,858.63 and 153,315.84 is: 230,010.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,164.50 : 709,858.63 = 153,315.84 : x
  2. Step 2: Convert to fraction form
    473,164.50/709,858.63 = 153,315.84/x
  3. Step 3: Cross multiply
    473,164.50x = 709,858.63 × 153,315.84
  4. Step 4: Simplify right side
    473,164.50x = 108,832,572,139.70
  5. Step 5: Solve for x
    x = 108,832,572,139.70/473,164.50
  6. Step 6: Final answer
    x = 230,010.01

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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.