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Finding the Fourth Proportional to 503,866.63, 756,041.42 and 314,278.23

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Solution

The fourth proportional to 503,866.63, 756,041.42 and 314,278.23 is: 471,567.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,866.63 : 756,041.42 = 314,278.23 : x
  2. Step 2: Convert to fraction form
    503,866.63/756,041.42 = 314,278.23/x
  3. Step 3: Cross multiply
    503,866.63x = 756,041.42 × 314,278.23
  4. Step 4: Simplify right side
    503,866.63x = 237,607,360,069.98
  5. Step 5: Solve for x
    x = 237,607,360,069.98/503,866.63
  6. Step 6: Final answer
    x = 471,567.96

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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.