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Finding the Fourth Proportional to 297,810.84, 410,988.86 and 175,281.01

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Solution

The fourth proportional to 297,810.84, 410,988.86 and 175,281.01 is: 241,893.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,810.84 : 410,988.86 = 175,281.01 : x
  2. Step 2: Convert to fraction form
    297,810.84/410,988.86 = 175,281.01/x
  3. Step 3: Cross multiply
    297,810.84x = 410,988.86 × 175,281.01
  4. Step 4: Simplify right side
    297,810.84x = 72,038,540,575.67
  5. Step 5: Solve for x
    x = 72,038,540,575.67/297,810.84
  6. Step 6: Final answer
    x = 241,893.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.