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Finding the Fourth Proportional to 364,382.10, 546,638.70 and 174,681.72

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Solution

The fourth proportional to 364,382.10, 546,638.70 and 174,681.72 is: 262,054.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,382.10 : 546,638.70 = 174,681.72 : x
  2. Step 2: Convert to fraction form
    364,382.10/546,638.70 = 174,681.72/x
  3. Step 3: Cross multiply
    364,382.10x = 546,638.70 × 174,681.72
  4. Step 4: Simplify right side
    364,382.10x = 95,487,788,334.56
  5. Step 5: Solve for x
    x = 95,487,788,334.56/364,382.10
  6. Step 6: Final answer
    x = 262,054.00

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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.