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Finding the Fourth Proportional to 531,355.77, 733,256.36 and 289,643.06

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Solution

The fourth proportional to 531,355.77, 733,256.36 and 289,643.06 is: 399,699.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,355.77 : 733,256.36 = 289,643.06 : x
  2. Step 2: Convert to fraction form
    531,355.77/733,256.36 = 289,643.06/x
  3. Step 3: Cross multiply
    531,355.77x = 733,256.36 × 289,643.06
  4. Step 4: Simplify right side
    531,355.77x = 212,382,616,259.79
  5. Step 5: Solve for x
    x = 212,382,616,259.79/531,355.77
  6. Step 6: Final answer
    x = 399,699.46

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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.