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Finding the Fourth Proportional to 538,000.16, 742,797.53 and 334,354.95

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Solution

The fourth proportional to 538,000.16, 742,797.53 and 334,354.95 is: 461,631.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,000.16 : 742,797.53 = 334,354.95 : x
  2. Step 2: Convert to fraction form
    538,000.16/742,797.53 = 334,354.95/x
  3. Step 3: Cross multiply
    538,000.16x = 742,797.53 × 334,354.95
  4. Step 4: Simplify right side
    538,000.16x = 248,358,029,331.50
  5. Step 5: Solve for x
    x = 248,358,029,331.50/538,000.16
  6. Step 6: Final answer
    x = 461,631.89

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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.