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Finding the Fourth Proportional to 569,582.12, 785,991.92 and 314,916.50

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Solution

The fourth proportional to 569,582.12, 785,991.92 and 314,916.50 is: 434,567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,582.12 : 785,991.92 = 314,916.50 : x
  2. Step 2: Convert to fraction form
    569,582.12/785,991.92 = 314,916.50/x
  3. Step 3: Cross multiply
    569,582.12x = 785,991.92 × 314,916.50
  4. Step 4: Simplify right side
    569,582.12x = 247,521,824,474.68
  5. Step 5: Solve for x
    x = 247,521,824,474.68/569,582.12
  6. Step 6: Final answer
    x = 434,567.41

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1.5x scale

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.