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Finding the Fourth Proportional to 584,506.71, 877,012.64 and 314,319.05

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Solution

The fourth proportional to 584,506.71, 877,012.64 and 314,319.05 is: 471,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,506.71 : 877,012.64 = 314,319.05 : x
  2. Step 2: Convert to fraction form
    584,506.71/877,012.64 = 314,319.05/x
  3. Step 3: Cross multiply
    584,506.71x = 877,012.64 × 314,319.05
  4. Step 4: Simplify right side
    584,506.71x = 275,661,778,353.63
  5. Step 5: Solve for x
    x = 275,661,778,353.63/584,506.71
  6. Step 6: Final answer
    x = 471,614.40

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1.5x scale

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.