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Finding the Fourth Proportional to 507,805.20, 700,746.57 and 293,014.62

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Solution

The fourth proportional to 507,805.20, 700,746.57 and 293,014.62 is: 404,345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,805.20 : 700,746.57 = 293,014.62 : x
  2. Step 2: Convert to fraction form
    507,805.20/700,746.57 = 293,014.62/x
  3. Step 3: Cross multiply
    507,805.20x = 700,746.57 × 293,014.62
  4. Step 4: Simplify right side
    507,805.20x = 205,328,989,924.85
  5. Step 5: Solve for x
    x = 205,328,989,924.85/507,805.20
  6. Step 6: Final answer
    x = 404,345.98

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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.