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Finding the Fourth Proportional to 705,106.62, 973,063.53 and 418,627.44

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Solution

The fourth proportional to 705,106.62, 973,063.53 and 418,627.44 is: 577,715.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,106.62 : 973,063.53 = 418,627.44 : x
  2. Step 2: Convert to fraction form
    705,106.62/973,063.53 = 418,627.44/x
  3. Step 3: Cross multiply
    705,106.62x = 973,063.53 × 418,627.44
  4. Step 4: Simplify right side
    705,106.62x = 407,351,094,521.26
  5. Step 5: Solve for x
    x = 407,351,094,521.26/705,106.62
  6. Step 6: Final answer
    x = 577,715.60

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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.