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Finding the Fourth Proportional to 569,970.74, 786,516.27 and 315,316.46

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Solution

The fourth proportional to 569,970.74, 786,516.27 and 315,316.46 is: 435,112.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,970.74 : 786,516.27 = 315,316.46 : x
  2. Step 2: Convert to fraction form
    569,970.74/786,516.27 = 315,316.46/x
  3. Step 3: Cross multiply
    569,970.74x = 786,516.27 × 315,316.46
  4. Step 4: Simplify right side
    569,970.74x = 248,001,525,988.80
  5. Step 5: Solve for x
    x = 248,001,525,988.80/569,970.74
  6. Step 6: Final answer
    x = 435,112.73

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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.