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Finding the Fourth Proportional to 500,952.62, 750,266.40 and 497,219

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Solution

The fourth proportional to 500,952.62, 750,266.40 and 497,219 is: 744,674.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,952.62 : 750,266.40 = 497,219 : x
  2. Step 2: Convert to fraction form
    500,952.62/750,266.40 = 497,219/x
  3. Step 3: Cross multiply
    500,952.62x = 750,266.40 × 497,219
  4. Step 4: Simplify right side
    500,952.62x = 373,046,709,141.60
  5. Step 5: Solve for x
    x = 373,046,709,141.60/500,952.62
  6. Step 6: Final answer
    x = 744,674.63

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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.