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Finding the Fourth Proportional to 529,342.24, 730,410.06 and 314,476.78

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Solution

The fourth proportional to 529,342.24, 730,410.06 and 314,476.78 is: 433,929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,342.24 : 730,410.06 = 314,476.78 : x
  2. Step 2: Convert to fraction form
    529,342.24/730,410.06 = 314,476.78/x
  3. Step 3: Cross multiply
    529,342.24x = 730,410.06 × 314,476.78
  4. Step 4: Simplify right side
    529,342.24x = 229,697,003,748.41
  5. Step 5: Solve for x
    x = 229,697,003,748.41/529,342.24
  6. Step 6: Final answer
    x = 433,929.10

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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.