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Finding the Fourth Proportional to 517,026.16, 713,528.94 and 290,686.24

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Solution

The fourth proportional to 517,026.16, 713,528.94 and 290,686.24 is: 401,165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,026.16 : 713,528.94 = 290,686.24 : x
  2. Step 2: Convert to fraction form
    517,026.16/713,528.94 = 290,686.24/x
  3. Step 3: Cross multiply
    517,026.16x = 713,528.94 × 290,686.24
  4. Step 4: Simplify right side
    517,026.16x = 207,413,044,699.79
  5. Step 5: Solve for x
    x = 207,413,044,699.79/517,026.16
  6. Step 6: Final answer
    x = 401,165.47

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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.