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Finding the Fourth Proportional to 706,436.42, 974,852.58 and 400,533.38

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Solution

The fourth proportional to 706,436.42, 974,852.58 and 400,533.38 is: 552,719.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,436.42 : 974,852.58 = 400,533.38 : x
  2. Step 2: Convert to fraction form
    706,436.42/974,852.58 = 400,533.38/x
  3. Step 3: Cross multiply
    706,436.42x = 974,852.58 × 400,533.38
  4. Step 4: Simplify right side
    706,436.42x = 390,460,998,869.12
  5. Step 5: Solve for x
    x = 390,460,998,869.12/706,436.42
  6. Step 6: Final answer
    x = 552,719.24

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Why These Related Problems?

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