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Finding the Fourth Proportional to 473,162.19, 709,855.16 and 153,313.53

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Solution

The fourth proportional to 473,162.19, 709,855.16 and 153,313.53 is: 230,006.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,162.19 : 709,855.16 = 153,313.53 : x
  2. Step 2: Convert to fraction form
    473,162.19/709,855.16 = 153,313.53/x
  3. Step 3: Cross multiply
    473,162.19x = 709,855.16 × 153,313.53
  4. Step 4: Simplify right side
    473,162.19x = 108,830,400,368.32
  5. Step 5: Solve for x
    x = 108,830,400,368.32/473,162.19
  6. Step 6: Final answer
    x = 230,006.54

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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.