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Finding the Fourth Proportional to 590,242.20, 883,530.54 and 319,698.36

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Solution

The fourth proportional to 590,242.20, 883,530.54 and 319,698.36 is: 478,554.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,242.20 : 883,530.54 = 319,698.36 : x
  2. Step 2: Convert to fraction form
    590,242.20/883,530.54 = 319,698.36/x
  3. Step 3: Cross multiply
    590,242.20x = 883,530.54 × 319,698.36
  4. Step 4: Simplify right side
    590,242.20x = 282,463,264,647.91
  5. Step 5: Solve for x
    x = 282,463,264,647.91/590,242.20
  6. Step 6: Final answer
    x = 478,554.85

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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.