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Finding the Fourth Proportional to 413,022.30, 619,533.45 and 319,710.30

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Solution

The fourth proportional to 413,022.30, 619,533.45 and 319,710.30 is: 479,565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,022.30 : 619,533.45 = 319,710.30 : x
  2. Step 2: Convert to fraction form
    413,022.30/619,533.45 = 319,710.30/x
  3. Step 3: Cross multiply
    413,022.30x = 619,533.45 × 319,710.30
  4. Step 4: Simplify right side
    413,022.30x = 198,071,225,159.54
  5. Step 5: Solve for x
    x = 198,071,225,159.54/413,022.30
  6. Step 6: Final answer
    x = 479,565.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.