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Finding the Fourth Proportional to 514,906.32, 710,494.32 and 294,127.44

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Solution

The fourth proportional to 514,906.32, 710,494.32 and 294,127.44 is: 405,852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,906.32 : 710,494.32 = 294,127.44 : x
  2. Step 2: Convert to fraction form
    514,906.32/710,494.32 = 294,127.44/x
  3. Step 3: Cross multiply
    514,906.32x = 710,494.32 × 294,127.44
  4. Step 4: Simplify right side
    514,906.32x = 208,975,875,476.14
  5. Step 5: Solve for x
    x = 208,975,875,476.14/514,906.32
  6. Step 6: Final answer
    x = 405,852.22

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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.