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Finding the Fourth Proportional to 583,512, 805,247.04 and 315,240

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Solution

The fourth proportional to 583,512, 805,247.04 and 315,240 is: 435,031.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,512 : 805,247.04 = 315,240 : x
  2. Step 2: Convert to fraction form
    583,512/805,247.04 = 315,240/x
  3. Step 3: Cross multiply
    583,512x = 805,247.04 × 315,240
  4. Step 4: Simplify right side
    583,512x = 253,846,076,889.60
  5. Step 5: Solve for x
    x = 253,846,076,889.60/583,512
  6. Step 6: Final answer
    x = 435,031.46

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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.