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Finding the Fourth Proportional to 965,506.16, 1,448,259.24 and 300,710

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Solution

The fourth proportional to 965,506.16, 1,448,259.24 and 300,710 is: 451,065

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,506.16 : 1,448,259.24 = 300,710 : x
  2. Step 2: Convert to fraction form
    965,506.16/1,448,259.24 = 300,710/x
  3. Step 3: Cross multiply
    965,506.16x = 1,448,259.24 × 300,710
  4. Step 4: Simplify right side
    965,506.16x = 435,506,036,060.40
  5. Step 5: Solve for x
    x = 435,506,036,060.40/965,506.16
  6. Step 6: Final answer
    x = 451,065

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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.