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Finding the Fourth Proportional to 413,326.49, 570,322.64 and 243,537.53

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Solution

The fourth proportional to 413,326.49, 570,322.64 and 243,537.53 is: 336,041.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,326.49 : 570,322.64 = 243,537.53 : x
  2. Step 2: Convert to fraction form
    413,326.49/570,322.64 = 243,537.53/x
  3. Step 3: Cross multiply
    413,326.49x = 570,322.64 × 243,537.53
  4. Step 4: Simplify right side
    413,326.49x = 138,894,965,830.99
  5. Step 5: Solve for x
    x = 138,894,965,830.99/413,326.49
  6. Step 6: Final answer
    x = 336,041.77

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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.