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Finding the Fourth Proportional to 507,009.50, 761,261.88 and 282,807.98

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Solution

The fourth proportional to 507,009.50, 761,261.88 and 282,807.98 is: 424,629.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,009.50 : 761,261.88 = 282,807.98 : x
  2. Step 2: Convert to fraction form
    507,009.50/761,261.88 = 282,807.98/x
  3. Step 3: Cross multiply
    507,009.50x = 761,261.88 × 282,807.98
  4. Step 4: Simplify right side
    507,009.50x = 215,290,934,533.80
  5. Step 5: Solve for x
    x = 215,290,934,533.80/507,009.50
  6. Step 6: Final answer
    x = 424,629.00

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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.