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Finding the Fourth Proportional to 590,242.40, 883,530.94 and 319,698.62

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Solution

The fourth proportional to 590,242.40, 883,530.94 and 319,698.62 is: 478,555.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,242.40 : 883,530.94 = 319,698.62 : x
  2. Step 2: Convert to fraction form
    590,242.40/883,530.94 = 319,698.62/x
  3. Step 3: Cross multiply
    590,242.40x = 883,530.94 × 319,698.62
  4. Step 4: Simplify right side
    590,242.40x = 282,463,620,646.81
  5. Step 5: Solve for x
    x = 282,463,620,646.81/590,242.40
  6. Step 6: Final answer
    x = 478,555.29

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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.