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Finding the Fourth Proportional to 560,176.50, 773,688.45 and 407,895.54

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Solution

The fourth proportional to 560,176.50, 773,688.45 and 407,895.54 is: 563,365.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,176.50 : 773,688.45 = 407,895.54 : x
  2. Step 2: Convert to fraction form
    560,176.50/773,688.45 = 407,895.54/x
  3. Step 3: Cross multiply
    560,176.50x = 773,688.45 × 407,895.54
  4. Step 4: Simplify right side
    560,176.50x = 315,584,068,104.51
  5. Step 5: Solve for x
    x = 315,584,068,104.51/560,176.50
  6. Step 6: Final answer
    x = 563,365.42

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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.