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Finding the Fourth Proportional to 973,977.60, 1,460,966.40 and 824,678.40

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Solution

The fourth proportional to 973,977.60, 1,460,966.40 and 824,678.40 is: 1,237,017.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,977.60 : 1,460,966.40 = 824,678.40 : x
  2. Step 2: Convert to fraction form
    973,977.60/1,460,966.40 = 824,678.40/x
  3. Step 3: Cross multiply
    973,977.60x = 1,460,966.40 × 824,678.40
  4. Step 4: Simplify right side
    973,977.60x = 1,204,827,433,205.76
  5. Step 5: Solve for x
    x = 1,204,827,433,205.76/973,977.60
  6. Step 6: Final answer
    x = 1,237,017.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.