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Finding the Fourth Proportional to 495,206.40, 742,809.60 and 463,713.60

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Solution

The fourth proportional to 495,206.40, 742,809.60 and 463,713.60 is: 695,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,206.40 : 742,809.60 = 463,713.60 : x
  2. Step 2: Convert to fraction form
    495,206.40/742,809.60 = 463,713.60/x
  3. Step 3: Cross multiply
    495,206.40x = 742,809.60 × 463,713.60
  4. Step 4: Simplify right side
    495,206.40x = 344,450,913,730.56
  5. Step 5: Solve for x
    x = 344,450,913,730.56/495,206.40
  6. Step 6: Final answer
    x = 695,570.40

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Why These Related Problems?

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