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Finding the Fourth Proportional to 532,112.30, 734,332.14 and 302,663.67

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Solution

The fourth proportional to 532,112.30, 734,332.14 and 302,663.67 is: 417,685.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,112.30 : 734,332.14 = 302,663.67 : x
  2. Step 2: Convert to fraction form
    532,112.30/734,332.14 = 302,663.67/x
  3. Step 3: Cross multiply
    532,112.30x = 734,332.14 × 302,663.67
  4. Step 4: Simplify right side
    532,112.30x = 222,255,660,491.35
  5. Step 5: Solve for x
    x = 222,255,660,491.35/532,112.30
  6. Step 6: Final answer
    x = 417,685.63

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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.