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Finding the Fourth Proportional to 319,398.19, 478,533.52 and 284,646.76

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Solution

The fourth proportional to 319,398.19, 478,533.52 and 284,646.76 is: 426,467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,398.19 : 478,533.52 = 284,646.76 : x
  2. Step 2: Convert to fraction form
    319,398.19/478,533.52 = 284,646.76/x
  3. Step 3: Cross multiply
    319,398.19x = 478,533.52 × 284,646.76
  4. Step 4: Simplify right side
    319,398.19x = 136,213,016,019.40
  5. Step 5: Solve for x
    x = 136,213,016,019.40/319,398.19
  6. Step 6: Final answer
    x = 426,467.71

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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.