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Finding the Fourth Proportional to 472,297.98, 651,402.54 and 302,547.90

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Solution

The fourth proportional to 472,297.98, 651,402.54 and 302,547.90 is: 417,279.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,297.98 : 651,402.54 = 302,547.90 : x
  2. Step 2: Convert to fraction form
    472,297.98/651,402.54 = 302,547.90/x
  3. Step 3: Cross multiply
    472,297.98x = 651,402.54 × 302,547.90
  4. Step 4: Simplify right side
    472,297.98x = 197,080,470,531.67
  5. Step 5: Solve for x
    x = 197,080,470,531.67/472,297.98
  6. Step 6: Final answer
    x = 417,279.94

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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.