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Finding the Fourth Proportional to 771,064.61, 1,064,069.01 and 431,532.86

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Solution

The fourth proportional to 771,064.61, 1,064,069.01 and 431,532.86 is: 595,515.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,064.61 : 1,064,069.01 = 431,532.86 : x
  2. Step 2: Convert to fraction form
    771,064.61/1,064,069.01 = 431,532.86/x
  3. Step 3: Cross multiply
    771,064.61x = 1,064,069.01 × 431,532.86
  4. Step 4: Simplify right side
    771,064.61x = 459,180,737,802.32
  5. Step 5: Solve for x
    x = 459,180,737,802.32/771,064.61
  6. Step 6: Final answer
    x = 595,515.26

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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.