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Finding the Fourth Proportional to 532,088.64, 734,297.80 and 290,386.76

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Solution

The fourth proportional to 532,088.64, 734,297.80 and 290,386.76 is: 400,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,088.64 : 734,297.80 = 290,386.76 : x
  2. Step 2: Convert to fraction form
    532,088.64/734,297.80 = 290,386.76/x
  3. Step 3: Cross multiply
    532,088.64x = 734,297.80 × 290,386.76
  4. Step 4: Simplify right side
    532,088.64x = 213,230,360,126.91
  5. Step 5: Solve for x
    x = 213,230,360,126.91/532,088.64
  6. Step 6: Final answer
    x = 400,742.18

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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.