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Finding the Fourth Proportional to 584,543, 806,669.34 and 316,271

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Solution

The fourth proportional to 584,543, 806,669.34 and 316,271 is: 436,453.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,543 : 806,669.34 = 316,271 : x
  2. Step 2: Convert to fraction form
    584,543/806,669.34 = 316,271/x
  3. Step 3: Cross multiply
    584,543x = 806,669.34 × 316,271
  4. Step 4: Simplify right side
    584,543x = 255,126,118,831.14
  5. Step 5: Solve for x
    x = 255,126,118,831.14/584,543
  6. Step 6: Final answer
    x = 436,453.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.