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Finding the Fourth Proportional to 523,904.34, 785,199.13 and 224,032.30

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Solution

The fourth proportional to 523,904.34, 785,199.13 and 224,032.30 is: 335,767.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,904.34 : 785,199.13 = 224,032.30 : x
  2. Step 2: Convert to fraction form
    523,904.34/785,199.13 = 224,032.30/x
  3. Step 3: Cross multiply
    523,904.34x = 785,199.13 × 224,032.30
  4. Step 4: Simplify right side
    523,904.34x = 175,909,965,931.74
  5. Step 5: Solve for x
    x = 175,909,965,931.74/523,904.34
  6. Step 6: Final answer
    x = 335,767.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.