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Finding the Fourth Proportional to 406,075.48, 560,377.38 and 224,783.58

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Solution

The fourth proportional to 406,075.48, 560,377.38 and 224,783.58 is: 310,197.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,075.48 : 560,377.38 = 224,783.58 : x
  2. Step 2: Convert to fraction form
    406,075.48/560,377.38 = 224,783.58/x
  3. Step 3: Cross multiply
    406,075.48x = 560,377.38 × 224,783.58
  4. Step 4: Simplify right side
    406,075.48x = 125,963,633,627.42
  5. Step 5: Solve for x
    x = 125,963,633,627.42/406,075.48
  6. Step 6: Final answer
    x = 310,197.59

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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.