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Finding the Fourth Proportional to 532,580.19, 734,956.93 and 290,862.83

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Solution

The fourth proportional to 532,580.19, 734,956.93 and 290,862.83 is: 401,388.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,580.19 : 734,956.93 = 290,862.83 : x
  2. Step 2: Convert to fraction form
    532,580.19/734,956.93 = 290,862.83/x
  3. Step 3: Cross multiply
    532,580.19x = 734,956.93 × 290,862.83
  4. Step 4: Simplify right side
    532,580.19x = 213,771,652,587.91
  5. Step 5: Solve for x
    x = 213,771,652,587.91/532,580.19
  6. Step 6: Final answer
    x = 401,388.67

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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.