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Finding the Fourth Proportional to 535,883.50, 802,774.28 and 310,771

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Solution

The fourth proportional to 535,883.50, 802,774.28 and 310,771 is: 465,547.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,883.50 : 802,774.28 = 310,771 : x
  2. Step 2: Convert to fraction form
    535,883.50/802,774.28 = 310,771/x
  3. Step 3: Cross multiply
    535,883.50x = 802,774.28 × 310,771
  4. Step 4: Simplify right side
    535,883.50x = 249,478,964,992.95
  5. Step 5: Solve for x
    x = 249,478,964,992.95/535,883.50
  6. Step 6: Final answer
    x = 465,547.02

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