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Finding the Fourth Proportional to 510,307.63, 704,178.78 and 295,462.24

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Solution

The fourth proportional to 510,307.63, 704,178.78 and 295,462.24 is: 407,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,307.63 : 704,178.78 = 295,462.24 : x
  2. Step 2: Convert to fraction form
    510,307.63/704,178.78 = 295,462.24/x
  3. Step 3: Cross multiply
    510,307.63x = 704,178.78 × 295,462.24
  4. Step 4: Simplify right side
    510,307.63x = 208,058,239,699.27
  5. Step 5: Solve for x
    x = 208,058,239,699.27/510,307.63
  6. Step 6: Final answer
    x = 407,711.40

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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.