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Finding the Fourth Proportional to 708,881.65, 977,970.88 and 410,319.10

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Solution

The fourth proportional to 708,881.65, 977,970.88 and 410,319.10 is: 566,074.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,881.65 : 977,970.88 = 410,319.10 : x
  2. Step 2: Convert to fraction form
    708,881.65/977,970.88 = 410,319.10/x
  3. Step 3: Cross multiply
    708,881.65x = 977,970.88 × 410,319.10
  4. Step 4: Simplify right side
    708,881.65x = 401,280,124,366.36
  5. Step 5: Solve for x
    x = 401,280,124,366.36/708,881.65
  6. Step 6: Final answer
    x = 566,074.92

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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.