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Finding the Fourth Proportional to 742,581, 1,024,676.55 and 415,848.42

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Solution

The fourth proportional to 742,581, 1,024,676.55 and 415,848.42 is: 573,823.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,581 : 1,024,676.55 = 415,848.42 : x
  2. Step 2: Convert to fraction form
    742,581/1,024,676.55 = 415,848.42/x
  3. Step 3: Cross multiply
    742,581x = 1,024,676.55 × 415,848.42
  4. Step 4: Simplify right side
    742,581x = 426,110,124,328.55
  5. Step 5: Solve for x
    x = 426,110,124,328.55/742,581
  6. Step 6: Final answer
    x = 573,823.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.