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Finding the Fourth Proportional to 583,091.84, 873,886.80 and 282,991.64

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Solution

The fourth proportional to 583,091.84, 873,886.80 and 282,991.64 is: 424,123.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,091.84 : 873,886.80 = 282,991.64 : x
  2. Step 2: Convert to fraction form
    583,091.84/873,886.80 = 282,991.64/x
  3. Step 3: Cross multiply
    583,091.84x = 873,886.80 × 282,991.64
  4. Step 4: Simplify right side
    583,091.84x = 247,302,658,706.35
  5. Step 5: Solve for x
    x = 247,302,658,706.35/583,091.84
  6. Step 6: Final answer
    x = 424,123.00

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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.