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Finding the Fourth Proportional to 364,597.80, 546,823.80 and 175,057.80

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Solution

The fourth proportional to 364,597.80, 546,823.80 and 175,057.80 is: 262,551.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,597.80 : 546,823.80 = 175,057.80 : x
  2. Step 2: Convert to fraction form
    364,597.80/546,823.80 = 175,057.80/x
  3. Step 3: Cross multiply
    364,597.80x = 546,823.80 × 175,057.80
  4. Step 4: Simplify right side
    364,597.80x = 95,725,771,415.64
  5. Step 5: Solve for x
    x = 95,725,771,415.64/364,597.80
  6. Step 6: Final answer
    x = 262,551.70

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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.