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Finding the Fourth Proportional to 771,732, 1,064,990.52 and 432,200.34

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Solution

The fourth proportional to 771,732, 1,064,990.52 and 432,200.34 is: 596,436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,732 : 1,064,990.52 = 432,200.34 : x
  2. Step 2: Convert to fraction form
    771,732/1,064,990.52 = 432,200.34/x
  3. Step 3: Cross multiply
    771,732x = 1,064,990.52 × 432,200.34
  4. Step 4: Simplify right side
    771,732x = 460,289,264,840.78
  5. Step 5: Solve for x
    x = 460,289,264,840.78/771,732
  6. Step 6: Final answer
    x = 596,436.67

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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.