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Finding the Fourth Proportional to 581,895.23, 803,520 and 429,198.08

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Solution

The fourth proportional to 581,895.23, 803,520 and 429,198.08 is: 592,665.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,895.23 : 803,520 = 429,198.08 : x
  2. Step 2: Convert to fraction form
    581,895.23/803,520 = 429,198.08/x
  3. Step 3: Cross multiply
    581,895.23x = 803,520 × 429,198.08
  4. Step 4: Simplify right side
    581,895.23x = 344,869,237,224
  5. Step 5: Solve for x
    x = 344,869,237,224/581,895.23
  6. Step 6: Final answer
    x = 592,665.52

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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.