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Finding the Fourth Proportional to 433,426, 598,154.40 and 242,452.24

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Solution

The fourth proportional to 433,426, 598,154.40 and 242,452.24 is: 334,598.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,426 : 598,154.40 = 242,452.24 : x
  2. Step 2: Convert to fraction form
    433,426/598,154.40 = 242,452.24/x
  3. Step 3: Cross multiply
    433,426x = 598,154.40 × 242,452.24
  4. Step 4: Simplify right side
    433,426x = 145,023,874,145.86
  5. Step 5: Solve for x
    x = 145,023,874,145.86/433,426
  6. Step 6: Final answer
    x = 334,598.93

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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.