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Finding the Fourth Proportional to 417,074.08, 575,482.08 and 264,004.60

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Solution

The fourth proportional to 417,074.08, 575,482.08 and 264,004.60 is: 364,275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,074.08 : 575,482.08 = 264,004.60 : x
  2. Step 2: Convert to fraction form
    417,074.08/575,482.08 = 264,004.60/x
  3. Step 3: Cross multiply
    417,074.08x = 575,482.08 × 264,004.60
  4. Step 4: Simplify right side
    417,074.08x = 151,929,916,337.57
  5. Step 5: Solve for x
    x = 151,929,916,337.57/417,074.08
  6. Step 6: Final answer
    x = 364,275.61

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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.