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Finding the Fourth Proportional to 583,897.80, 874,809.90 and 362,022.60

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Solution

The fourth proportional to 583,897.80, 874,809.90 and 362,022.60 is: 542,391.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,897.80 : 874,809.90 = 362,022.60 : x
  2. Step 2: Convert to fraction form
    583,897.80/874,809.90 = 362,022.60/x
  3. Step 3: Cross multiply
    583,897.80x = 874,809.90 × 362,022.60
  4. Step 4: Simplify right side
    583,897.80x = 316,700,954,503.74
  5. Step 5: Solve for x
    x = 316,700,954,503.74/583,897.80
  6. Step 6: Final answer
    x = 542,391.07

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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.