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Finding the Fourth Proportional to 510,256.16, 704,239.78 and 295,526.76

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Solution

The fourth proportional to 510,256.16, 704,239.78 and 295,526.76 is: 407,876.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,256.16 : 704,239.78 = 295,526.76 : x
  2. Step 2: Convert to fraction form
    510,256.16/704,239.78 = 295,526.76/x
  3. Step 3: Cross multiply
    510,256.16x = 704,239.78 × 295,526.76
  4. Step 4: Simplify right side
    510,256.16x = 208,121,700,446.51
  5. Step 5: Solve for x
    x = 208,121,700,446.51/510,256.16
  6. Step 6: Final answer
    x = 407,876.90

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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.