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Finding the Fourth Proportional to 761,783.16, 1,051,257.78 and 417,621

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Solution

The fourth proportional to 761,783.16, 1,051,257.78 and 417,621 is: 576,315.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,783.16 : 1,051,257.78 = 417,621 : x
  2. Step 2: Convert to fraction form
    761,783.16/1,051,257.78 = 417,621/x
  3. Step 3: Cross multiply
    761,783.16x = 1,051,257.78 × 417,621
  4. Step 4: Simplify right side
    761,783.16x = 439,027,325,341.38
  5. Step 5: Solve for x
    x = 439,027,325,341.38/761,783.16
  6. Step 6: Final answer
    x = 576,315.35

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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.