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Finding the Fourth Proportional to 597,189.90, 894,898.76 and 438,643.34

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Solution

The fourth proportional to 597,189.90, 894,898.76 and 438,643.34 is: 657,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,189.90 : 894,898.76 = 438,643.34 : x
  2. Step 2: Convert to fraction form
    597,189.90/894,898.76 = 438,643.34/x
  3. Step 3: Cross multiply
    597,189.90x = 894,898.76 × 438,643.34
  4. Step 4: Simplify right side
    597,189.90x = 392,541,381,048.26
  5. Step 5: Solve for x
    x = 392,541,381,048.26/597,189.90
  6. Step 6: Final answer
    x = 657,314.17

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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.