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Finding the Fourth Proportional to 909,248.77, 1,364,013.34 and 310,069.80

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Solution

The fourth proportional to 909,248.77, 1,364,013.34 and 310,069.80 is: 465,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,248.77 : 1,364,013.34 = 310,069.80 : x
  2. Step 2: Convert to fraction form
    909,248.77/1,364,013.34 = 310,069.80/x
  3. Step 3: Cross multiply
    909,248.77x = 1,364,013.34 × 310,069.80
  4. Step 4: Simplify right side
    909,248.77x = 422,939,342,755.96
  5. Step 5: Solve for x
    x = 422,939,342,755.96/909,248.77
  6. Step 6: Final answer
    x = 465,152.50

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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.