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Finding the Fourth Proportional to 761,967, 1,051,524.59 and 417,802.05

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Solution

The fourth proportional to 761,967, 1,051,524.59 and 417,802.05 is: 576,572.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,967 : 1,051,524.59 = 417,802.05 : x
  2. Step 2: Convert to fraction form
    761,967/1,051,524.59 = 417,802.05/x
  3. Step 3: Cross multiply
    761,967x = 1,051,524.59 × 417,802.05
  4. Step 4: Simplify right side
    761,967x = 439,329,127,238.40
  5. Step 5: Solve for x
    x = 439,329,127,238.40/761,967
  6. Step 6: Final answer
    x = 576,572.38

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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.