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Finding the Fourth Proportional to 507,010.50, 761,263.38 and 282,808.98

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Solution

The fourth proportional to 507,010.50, 761,263.38 and 282,808.98 is: 424,630.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,010.50 : 761,263.38 = 282,808.98 : x
  2. Step 2: Convert to fraction form
    507,010.50/761,263.38 = 282,808.98/x
  3. Step 3: Cross multiply
    507,010.50x = 761,263.38 × 282,808.98
  4. Step 4: Simplify right side
    507,010.50x = 215,292,120,009.15
  5. Step 5: Solve for x
    x = 215,292,120,009.15/507,010.50
  6. Step 6: Final answer
    x = 424,630.50

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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.