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Finding the Fourth Proportional to 282,964, 390,545.80 and 162,186.24

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Solution

The fourth proportional to 282,964, 390,545.80 and 162,186.24 is: 223,848.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,964 : 390,545.80 = 162,186.24 : x
  2. Step 2: Convert to fraction form
    282,964/390,545.80 = 162,186.24/x
  3. Step 3: Cross multiply
    282,964x = 390,545.80 × 162,186.24
  4. Step 4: Simplify right side
    282,964x = 63,341,154,849.79
  5. Step 5: Solve for x
    x = 63,341,154,849.79/282,964
  6. Step 6: Final answer
    x = 223,848.81

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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.