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Finding the Fourth Proportional to 508,389.18, 701,574.93 and 282,034.68

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Solution

The fourth proportional to 508,389.18, 701,574.93 and 282,034.68 is: 389,206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,389.18 : 701,574.93 = 282,034.68 : x
  2. Step 2: Convert to fraction form
    508,389.18/701,574.93 = 282,034.68/x
  3. Step 3: Cross multiply
    508,389.18x = 701,574.93 × 282,034.68
  4. Step 4: Simplify right side
    508,389.18x = 197,868,460,878.57
  5. Step 5: Solve for x
    x = 197,868,460,878.57/508,389.18
  6. Step 6: Final answer
    x = 389,206.67

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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.