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Finding the Fourth Proportional to 425,196.96, 586,798.56 and 234,210.40

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Solution

The fourth proportional to 425,196.96, 586,798.56 and 234,210.40 is: 323,225.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,196.96 : 586,798.56 = 234,210.40 : x
  2. Step 2: Convert to fraction form
    425,196.96/586,798.56 = 234,210.40/x
  3. Step 3: Cross multiply
    425,196.96x = 586,798.56 × 234,210.40
  4. Step 4: Simplify right side
    425,196.96x = 137,434,325,457.02
  5. Step 5: Solve for x
    x = 137,434,325,457.02/425,196.96
  6. Step 6: Final answer
    x = 323,225.09

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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.