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Finding the Fourth Proportional to 429,415.60, 644,123.40 and 429,415.60

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Solution

The fourth proportional to 429,415.60, 644,123.40 and 429,415.60 is: 644,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,415.60 : 644,123.40 = 429,415.60 : x
  2. Step 2: Convert to fraction form
    429,415.60/644,123.40 = 429,415.60/x
  3. Step 3: Cross multiply
    429,415.60x = 644,123.40 × 429,415.60
  4. Step 4: Simplify right side
    429,415.60x = 276,596,636,285.04
  5. Step 5: Solve for x
    x = 276,596,636,285.04/429,415.60
  6. Step 6: Final answer
    x = 644,123.40

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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.