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Finding the Fourth Proportional to 364,458.16, 502,953.08 and 203,309.20

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Solution

The fourth proportional to 364,458.16, 502,953.08 and 203,309.20 is: 280,567.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,458.16 : 502,953.08 = 203,309.20 : x
  2. Step 2: Convert to fraction form
    364,458.16/502,953.08 = 203,309.20/x
  3. Step 3: Cross multiply
    364,458.16x = 502,953.08 × 203,309.20
  4. Step 4: Simplify right side
    364,458.16x = 102,254,988,332.34
  5. Step 5: Solve for x
    x = 102,254,988,332.34/364,458.16
  6. Step 6: Final answer
    x = 280,567.15

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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.