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Finding the Fourth Proportional to 510,394.76, 704,345.16 and 295,546.32

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Solution

The fourth proportional to 510,394.76, 704,345.16 and 295,546.32 is: 407,854.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,394.76 : 704,345.16 = 295,546.32 : x
  2. Step 2: Convert to fraction form
    510,394.76/704,345.16 = 295,546.32/x
  3. Step 3: Cross multiply
    510,394.76x = 704,345.16 × 295,546.32
  4. Step 4: Simplify right side
    510,394.76x = 208,166,620,047.81
  5. Step 5: Solve for x
    x = 208,166,620,047.81/510,394.76
  6. Step 6: Final answer
    x = 407,854.15

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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.