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Finding the Fourth Proportional to 601,070, 829,502.52 and 332,798

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Solution

The fourth proportional to 601,070, 829,502.52 and 332,798 is: 459,275.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,070 : 829,502.52 = 332,798 : x
  2. Step 2: Convert to fraction form
    601,070/829,502.52 = 332,798/x
  3. Step 3: Cross multiply
    601,070x = 829,502.52 × 332,798
  4. Step 4: Simplify right side
    601,070x = 276,056,779,650.96
  5. Step 5: Solve for x
    x = 276,056,779,650.96/601,070
  6. Step 6: Final answer
    x = 459,275.59

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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.