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Finding the Fourth Proportional to 364,734.53, 503,417.63 and 213,880.13

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Solution

The fourth proportional to 364,734.53, 503,417.63 and 213,880.13 is: 295,203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,734.53 : 503,417.63 = 213,880.13 : x
  2. Step 2: Convert to fraction form
    364,734.53/503,417.63 = 213,880.13/x
  3. Step 3: Cross multiply
    364,734.53x = 503,417.63 × 213,880.13
  4. Step 4: Simplify right side
    364,734.53x = 107,671,028,148.69
  5. Step 5: Solve for x
    x = 107,671,028,148.69/364,734.53
  6. Step 6: Final answer
    x = 295,203.82

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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.