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Finding the Fourth Proportional to 514,261.14, 709,444.71 and 333,031.47

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Solution

The fourth proportional to 514,261.14, 709,444.71 and 333,031.47 is: 459,430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,261.14 : 709,444.71 = 333,031.47 : x
  2. Step 2: Convert to fraction form
    514,261.14/709,444.71 = 333,031.47/x
  3. Step 3: Cross multiply
    514,261.14x = 709,444.71 × 333,031.47
  4. Step 4: Simplify right side
    514,261.14x = 236,267,414,655.02
  5. Step 5: Solve for x
    x = 236,267,414,655.02/514,261.14
  6. Step 6: Final answer
    x = 459,430.81

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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.