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Finding the Fourth Proportional to 507,744.96, 700,695.76 and 278,300.48

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Solution

The fourth proportional to 507,744.96, 700,695.76 and 278,300.48 is: 384,058.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,744.96 : 700,695.76 = 278,300.48 : x
  2. Step 2: Convert to fraction form
    507,744.96/700,695.76 = 278,300.48/x
  3. Step 3: Cross multiply
    507,744.96x = 700,695.76 × 278,300.48
  4. Step 4: Simplify right side
    507,744.96x = 195,003,966,341.97
  5. Step 5: Solve for x
    x = 195,003,966,341.97/507,744.96
  6. Step 6: Final answer
    x = 384,058.89

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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.