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Finding the Fourth Proportional to 510,306.63, 704,177.40 and 295,461.24

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Solution

The fourth proportional to 510,306.63, 704,177.40 and 295,461.24 is: 407,710.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,306.63 : 704,177.40 = 295,461.24 : x
  2. Step 2: Convert to fraction form
    510,306.63/704,177.40 = 295,461.24/x
  3. Step 3: Cross multiply
    510,306.63x = 704,177.40 × 295,461.24
  4. Step 4: Simplify right side
    510,306.63x = 208,057,127,783.98
  5. Step 5: Solve for x
    x = 208,057,127,783.98/510,306.63
  6. Step 6: Final answer
    x = 407,710.02

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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.