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Finding the Fourth Proportional to 535,883.80, 802,774.74 and 310,771.31

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Solution

The fourth proportional to 535,883.80, 802,774.74 and 310,771.31 is: 465,547.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,883.80 : 802,774.74 = 310,771.31 : x
  2. Step 2: Convert to fraction form
    535,883.80/802,774.74 = 310,771.31/x
  3. Step 3: Cross multiply
    535,883.80x = 802,774.74 × 310,771.31
  4. Step 4: Simplify right side
    535,883.80x = 249,479,352,793.91
  5. Step 5: Solve for x
    x = 249,479,352,793.91/535,883.80
  6. Step 6: Final answer
    x = 465,547.48

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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.