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Finding the Fourth Proportional to 705,322.19, 973,363.89 and 414,954.20

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Solution

The fourth proportional to 705,322.19, 973,363.89 and 414,954.20 is: 572,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,322.19 : 973,363.89 = 414,954.20 : x
  2. Step 2: Convert to fraction form
    705,322.19/973,363.89 = 414,954.20/x
  3. Step 3: Cross multiply
    705,322.19x = 973,363.89 × 414,954.20
  4. Step 4: Simplify right side
    705,322.19x = 403,901,434,283.84
  5. Step 5: Solve for x
    x = 403,901,434,283.84/705,322.19
  6. Step 6: Final answer
    x = 572,648.13

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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.