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Finding the Fourth Proportional to 510,362.25, 704,300.31 and 295,513.80

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Solution

The fourth proportional to 510,362.25, 704,300.31 and 295,513.80 is: 407,809.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,362.25 : 704,300.31 = 295,513.80 : x
  2. Step 2: Convert to fraction form
    510,362.25/704,300.31 = 295,513.80/x
  3. Step 3: Cross multiply
    510,362.25x = 704,300.31 × 295,513.80
  4. Step 4: Simplify right side
    510,362.25x = 208,130,460,949.28
  5. Step 5: Solve for x
    x = 208,130,460,949.28/510,362.25
  6. Step 6: Final answer
    x = 407,809.28

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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.