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Finding the Fourth Proportional to 705,317.18, 973,356.98 and 414,949.19

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Solution

The fourth proportional to 705,317.18, 973,356.98 and 414,949.19 is: 572,641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,317.18 : 973,356.98 = 414,949.19 : x
  2. Step 2: Convert to fraction form
    705,317.18/973,356.98 = 414,949.19/x
  3. Step 3: Cross multiply
    705,317.18x = 973,356.98 × 414,949.19
  4. Step 4: Simplify right side
    705,317.18x = 403,893,683,490.32
  5. Step 5: Solve for x
    x = 403,893,683,490.32/705,317.18
  6. Step 6: Final answer
    x = 572,641.21

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Double scale
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1.5x scale

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.