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Finding the Fourth Proportional to 507,004.50, 761,254.38 and 282,802.98

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Solution

The fourth proportional to 507,004.50, 761,254.38 and 282,802.98 is: 424,621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,004.50 : 761,254.38 = 282,802.98 : x
  2. Step 2: Convert to fraction form
    507,004.50/761,254.38 = 282,802.98/x
  3. Step 3: Cross multiply
    507,004.50x = 761,254.38 × 282,802.98
  4. Step 4: Simplify right side
    507,004.50x = 215,285,007,202.05
  5. Step 5: Solve for x
    x = 215,285,007,202.05/507,004.50
  6. Step 6: Final answer
    x = 424,621.49

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1.5x scale

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.