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Finding the Fourth Proportional to 429,827.40, 644,741.10 and 429,827.40

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Solution

The fourth proportional to 429,827.40, 644,741.10 and 429,827.40 is: 644,741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,827.40 : 644,741.10 = 429,827.40 : x
  2. Step 2: Convert to fraction form
    429,827.40/644,741.10 = 429,827.40/x
  3. Step 3: Cross multiply
    429,827.40x = 644,741.10 × 429,827.40
  4. Step 4: Simplify right side
    429,827.40x = 277,127,390,686.14
  5. Step 5: Solve for x
    x = 277,127,390,686.14/429,827.40
  6. Step 6: Final answer
    x = 644,741.10

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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.