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Finding the Fourth Proportional to 657,152.72, 906,870.12 and 355,346

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Solution

The fourth proportional to 657,152.72, 906,870.12 and 355,346 is: 490,377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,152.72 : 906,870.12 = 355,346 : x
  2. Step 2: Convert to fraction form
    657,152.72/906,870.12 = 355,346/x
  3. Step 3: Cross multiply
    657,152.72x = 906,870.12 × 355,346
  4. Step 4: Simplify right side
    657,152.72x = 322,252,669,661.52
  5. Step 5: Solve for x
    x = 322,252,669,661.52/657,152.72
  6. Step 6: Final answer
    x = 490,377.14

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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.