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Finding the Fourth Proportional to 356,493.40, 534,740.10 and 286,509.40

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Solution

The fourth proportional to 356,493.40, 534,740.10 and 286,509.40 is: 429,764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,493.40 : 534,740.10 = 286,509.40 : x
  2. Step 2: Convert to fraction form
    356,493.40/534,740.10 = 286,509.40/x
  3. Step 3: Cross multiply
    356,493.40x = 534,740.10 × 286,509.40
  4. Step 4: Simplify right side
    356,493.40x = 153,208,065,206.94
  5. Step 5: Solve for x
    x = 153,208,065,206.94/356,493.40
  6. Step 6: Final answer
    x = 429,764.10

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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.