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Finding the Fourth Proportional to 535,322.58, 802,729.71 and 310,751.88

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Solution

The fourth proportional to 535,322.58, 802,729.71 and 310,751.88 is: 465,980.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,322.58 : 802,729.71 = 310,751.88 : x
  2. Step 2: Convert to fraction form
    535,322.58/802,729.71 = 310,751.88/x
  3. Step 3: Cross multiply
    535,322.58x = 802,729.71 × 310,751.88
  4. Step 4: Simplify right side
    535,322.58x = 249,449,766,514.36
  5. Step 5: Solve for x
    x = 249,449,766,514.36/535,322.58
  6. Step 6: Final answer
    x = 465,980.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.