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Finding the Fourth Proportional to 510,437, 704,443.74 and 295,580.84

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Solution

The fourth proportional to 510,437, 704,443.74 and 295,580.84 is: 407,925.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,437 : 704,443.74 = 295,580.84 : x
  2. Step 2: Convert to fraction form
    510,437/704,443.74 = 295,580.84/x
  3. Step 3: Cross multiply
    510,437x = 704,443.74 × 295,580.84
  4. Step 4: Simplify right side
    510,437x = 208,220,072,401.94
  5. Step 5: Solve for x
    x = 208,220,072,401.94/510,437
  6. Step 6: Final answer
    x = 407,925.12

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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.