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Finding the Fourth Proportional to 507,824.94, 700,798.52 and 281,470.44

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Solution

The fourth proportional to 507,824.94, 700,798.52 and 281,470.44 is: 388,429.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,824.94 : 700,798.52 = 281,470.44 : x
  2. Step 2: Convert to fraction form
    507,824.94/700,798.52 = 281,470.44/x
  3. Step 3: Cross multiply
    507,824.94x = 700,798.52 × 281,470.44
  4. Step 4: Simplify right side
    507,824.94x = 197,254,066,368.40
  5. Step 5: Solve for x
    x = 197,254,066,368.40/507,824.94
  6. Step 6: Final answer
    x = 388,429.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.