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Finding the Fourth Proportional to 364,762.91, 503,284.16 and 213,830.75

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Solution

The fourth proportional to 364,762.91, 503,284.16 and 213,830.75 is: 295,034.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,762.91 : 503,284.16 = 213,830.75 : x
  2. Step 2: Convert to fraction form
    364,762.91/503,284.16 = 213,830.75/x
  3. Step 3: Cross multiply
    364,762.91x = 503,284.16 × 213,830.75
  4. Step 4: Simplify right side
    364,762.91x = 107,617,625,810.35
  5. Step 5: Solve for x
    x = 107,617,625,810.35/364,762.91
  6. Step 6: Final answer
    x = 295,034.46

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1.5x scale

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.